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Finding the Fourth Proportional to 228,937.40, 343,406.10 and 102,577.40

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Solution

The fourth proportional to 228,937.40, 343,406.10 and 102,577.40 is: 153,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,937.40 : 343,406.10 = 102,577.40 : x
  2. Step 2: Convert to fraction form
    228,937.40/343,406.10 = 102,577.40/x
  3. Step 3: Cross multiply
    228,937.40x = 343,406.10 × 102,577.40
  4. Step 4: Simplify right side
    228,937.40x = 35,225,704,882.14
  5. Step 5: Solve for x
    x = 35,225,704,882.14/228,937.40
  6. Step 6: Final answer
    x = 153,866.10

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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.