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Finding the Fourth Proportional to 145,926, 218,605.77 and 95,854.16

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Solution

The fourth proportional to 145,926, 218,605.77 and 95,854.16 is: 143,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,926 : 218,605.77 = 95,854.16 : x
  2. Step 2: Convert to fraction form
    145,926/218,605.77 = 95,854.16/x
  3. Step 3: Cross multiply
    145,926x = 218,605.77 × 95,854.16
  4. Step 4: Simplify right side
    145,926x = 20,954,273,001.02
  5. Step 5: Solve for x
    x = 20,954,273,001.02/145,926
  6. Step 6: Final answer
    x = 143,595.20

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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.