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Finding the Fourth Proportional to 104,332, 143,978.16 and 59,620

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Solution

The fourth proportional to 104,332, 143,978.16 and 59,620 is: 82,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,332 : 143,978.16 = 59,620 : x
  2. Step 2: Convert to fraction form
    104,332/143,978.16 = 59,620/x
  3. Step 3: Cross multiply
    104,332x = 143,978.16 × 59,620
  4. Step 4: Simplify right side
    104,332x = 8,583,977,899.20
  5. Step 5: Solve for x
    x = 8,583,977,899.20/104,332
  6. Step 6: Final answer
    x = 82,275.60

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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.