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Finding the Fourth Proportional to 142,713.72, 196,946.28 and 86,114.16

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Solution

The fourth proportional to 142,713.72, 196,946.28 and 86,114.16 is: 118,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,713.72 : 196,946.28 = 86,114.16 : x
  2. Step 2: Convert to fraction form
    142,713.72/196,946.28 = 86,114.16/x
  3. Step 3: Cross multiply
    142,713.72x = 196,946.28 × 86,114.16
  4. Step 4: Simplify right side
    142,713.72x = 16,959,863,467.32
  5. Step 5: Solve for x
    x = 16,959,863,467.32/142,713.72
  6. Step 6: Final answer
    x = 118,838.35

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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.