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Finding the Fourth Proportional to 105,513.60, 145,641.60 and 86,851.20

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Solution

The fourth proportional to 105,513.60, 145,641.60 and 86,851.20 is: 119,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513.60 : 145,641.60 = 86,851.20 : x
  2. Step 2: Convert to fraction form
    105,513.60/145,641.60 = 86,851.20/x
  3. Step 3: Cross multiply
    105,513.60x = 145,641.60 × 86,851.20
  4. Step 4: Simplify right side
    105,513.60x = 12,649,147,729.92
  5. Step 5: Solve for x
    x = 12,649,147,729.92/105,513.60
  6. Step 6: Final answer
    x = 119,881.68

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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.