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Finding the Fourth Proportional to 142,053.57, 196,038.64 and 77,526.34

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Solution

The fourth proportional to 142,053.57, 196,038.64 and 77,526.34 is: 106,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053.57 : 196,038.64 = 77,526.34 : x
  2. Step 2: Convert to fraction form
    142,053.57/196,038.64 = 77,526.34/x
  3. Step 3: Cross multiply
    142,053.57x = 196,038.64 × 77,526.34
  4. Step 4: Simplify right side
    142,053.57x = 15,198,158,257.78
  5. Step 5: Solve for x
    x = 15,198,158,257.78/142,053.57
  6. Step 6: Final answer
    x = 106,988.92

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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.