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Finding the Fourth Proportional to 301,682.16, 452,524.32 and 102,004.20

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Solution

The fourth proportional to 301,682.16, 452,524.32 and 102,004.20 is: 153,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,682.16 : 452,524.32 = 102,004.20 : x
  2. Step 2: Convert to fraction form
    301,682.16/452,524.32 = 102,004.20/x
  3. Step 3: Cross multiply
    301,682.16x = 452,524.32 × 102,004.20
  4. Step 4: Simplify right side
    301,682.16x = 46,159,381,242.14
  5. Step 5: Solve for x
    x = 46,159,381,242.14/301,682.16
  6. Step 6: Final answer
    x = 153,006.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.