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Finding the Fourth Proportional to 142,602.46, 196,792.95 and 78,941.32

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Solution

The fourth proportional to 142,602.46, 196,792.95 and 78,941.32 is: 108,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,602.46 : 196,792.95 = 78,941.32 : x
  2. Step 2: Convert to fraction form
    142,602.46/196,792.95 = 78,941.32/x
  3. Step 3: Cross multiply
    142,602.46x = 196,792.95 × 78,941.32
  4. Step 4: Simplify right side
    142,602.46x = 15,535,095,239.69
  5. Step 5: Solve for x
    x = 15,535,095,239.69/142,602.46
  6. Step 6: Final answer
    x = 108,939.88

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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.