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Finding the Fourth Proportional to 103,501.30, 155,251.95 and 99,564.70

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Solution

The fourth proportional to 103,501.30, 155,251.95 and 99,564.70 is: 149,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,501.30 : 155,251.95 = 99,564.70 : x
  2. Step 2: Convert to fraction form
    103,501.30/155,251.95 = 99,564.70/x
  3. Step 3: Cross multiply
    103,501.30x = 155,251.95 × 99,564.70
  4. Step 4: Simplify right side
    103,501.30x = 15,457,613,826.17
  5. Step 5: Solve for x
    x = 15,457,613,826.17/103,501.30
  6. Step 6: Final answer
    x = 149,347.05

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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.