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Finding the Fourth Proportional to 218,416.14, 301,507.26 and 146,837.67

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Solution

The fourth proportional to 218,416.14, 301,507.26 and 146,837.67 is: 202,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416.14 : 301,507.26 = 146,837.67 : x
  2. Step 2: Convert to fraction form
    218,416.14/301,507.26 = 146,837.67/x
  3. Step 3: Cross multiply
    218,416.14x = 301,507.26 × 146,837.67
  4. Step 4: Simplify right side
    218,416.14x = 44,272,622,038.95
  5. Step 5: Solve for x
    x = 44,272,622,038.95/218,416.14
  6. Step 6: Final answer
    x = 202,698.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.