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Finding the Fourth Proportional to 107,294.70, 148,066.74 and 59,548.08

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Solution

The fourth proportional to 107,294.70, 148,066.74 and 59,548.08 is: 82,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.70 : 148,066.74 = 59,548.08 : x
  2. Step 2: Convert to fraction form
    107,294.70/148,066.74 = 59,548.08/x
  3. Step 3: Cross multiply
    107,294.70x = 148,066.74 × 59,548.08
  4. Step 4: Simplify right side
    107,294.70x = 8,817,090,078.86
  5. Step 5: Solve for x
    x = 8,817,090,078.86/107,294.70
  6. Step 6: Final answer
    x = 82,176.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.