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Finding the Fourth Proportional to 142,116.57, 196,119.66 and 78,453

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Solution

The fourth proportional to 142,116.57, 196,119.66 and 78,453 is: 108,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116.57 : 196,119.66 = 78,453 : x
  2. Step 2: Convert to fraction form
    142,116.57/196,119.66 = 78,453/x
  3. Step 3: Cross multiply
    142,116.57x = 196,119.66 × 78,453
  4. Step 4: Simplify right side
    142,116.57x = 15,386,175,980.18
  5. Step 5: Solve for x
    x = 15,386,175,980.18/142,116.57
  6. Step 6: Final answer
    x = 108,264.48

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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.