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Finding the Fourth Proportional to 145,957.68, 201,421.89 and 78,889.68

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Solution

The fourth proportional to 145,957.68, 201,421.89 and 78,889.68 is: 108,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957.68 : 201,421.89 = 78,889.68 : x
  2. Step 2: Convert to fraction form
    145,957.68/201,421.89 = 78,889.68/x
  3. Step 3: Cross multiply
    145,957.68x = 201,421.89 × 78,889.68
  4. Step 4: Simplify right side
    145,957.68x = 15,890,108,447.10
  5. Step 5: Solve for x
    x = 15,890,108,447.10/145,957.68
  6. Step 6: Final answer
    x = 108,867.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.