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Finding the Fourth Proportional to 354,758.40, 532,059.84 and 102,038.40

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Solution

The fourth proportional to 354,758.40, 532,059.84 and 102,038.40 is: 153,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,758.40 : 532,059.84 = 102,038.40 : x
  2. Step 2: Convert to fraction form
    354,758.40/532,059.84 = 102,038.40/x
  3. Step 3: Cross multiply
    354,758.40x = 532,059.84 × 102,038.40
  4. Step 4: Simplify right side
    354,758.40x = 54,290,534,777.86
  5. Step 5: Solve for x
    x = 54,290,534,777.86/354,758.40
  6. Step 6: Final answer
    x = 153,035.23

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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.