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Finding the Fourth Proportional to 105,613, 145,710.06 and 60,258.40

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Solution

The fourth proportional to 105,613, 145,710.06 and 60,258.40 is: 83,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,613 : 145,710.06 = 60,258.40 : x
  2. Step 2: Convert to fraction form
    105,613/145,710.06 = 60,258.40/x
  3. Step 3: Cross multiply
    105,613x = 145,710.06 × 60,258.40
  4. Step 4: Simplify right side
    105,613x = 8,780,255,079.50
  5. Step 5: Solve for x
    x = 8,780,255,079.50/105,613
  6. Step 6: Final answer
    x = 83,136.12

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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.