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Finding the Fourth Proportional to 105,643.76, 145,752.18 and 60,289

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Solution

The fourth proportional to 105,643.76, 145,752.18 and 60,289 is: 83,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,643.76 : 145,752.18 = 60,289 : x
  2. Step 2: Convert to fraction form
    105,643.76/145,752.18 = 60,289/x
  3. Step 3: Cross multiply
    105,643.76x = 145,752.18 × 60,289
  4. Step 4: Simplify right side
    105,643.76x = 8,787,253,180.02
  5. Step 5: Solve for x
    x = 8,787,253,180.02/105,643.76
  6. Step 6: Final answer
    x = 83,178.16

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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.