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Finding the Fourth Proportional to 103,767.80, 155,402.22 and 59,259.64

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Solution

The fourth proportional to 103,767.80, 155,402.22 and 59,259.64 is: 88,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,767.80 : 155,402.22 = 59,259.64 : x
  2. Step 2: Convert to fraction form
    103,767.80/155,402.22 = 59,259.64/x
  3. Step 3: Cross multiply
    103,767.80x = 155,402.22 × 59,259.64
  4. Step 4: Simplify right side
    103,767.80x = 9,209,079,612.40
  5. Step 5: Solve for x
    x = 9,209,079,612.40/103,767.80
  6. Step 6: Final answer
    x = 88,746.99

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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.