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Finding the Fourth Proportional to 107,282.34, 148,045.86 and 59,534.46

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Solution

The fourth proportional to 107,282.34, 148,045.86 and 59,534.46 is: 82,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,282.34 : 148,045.86 = 59,534.46 : x
  2. Step 2: Convert to fraction form
    107,282.34/148,045.86 = 59,534.46/x
  3. Step 3: Cross multiply
    107,282.34x = 148,045.86 × 59,534.46
  4. Step 4: Simplify right side
    107,282.34x = 8,813,830,330.34
  5. Step 5: Solve for x
    x = 8,813,830,330.34/107,282.34
  6. Step 6: Final answer
    x = 82,155.46

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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.