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Finding the Fourth Proportional to 107,534, 148,396.92 and 60,430

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Solution

The fourth proportional to 107,534, 148,396.92 and 60,430 is: 83,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,534 : 148,396.92 = 60,430 : x
  2. Step 2: Convert to fraction form
    107,534/148,396.92 = 60,430/x
  3. Step 3: Cross multiply
    107,534x = 148,396.92 × 60,430
  4. Step 4: Simplify right side
    107,534x = 8,967,625,875.60
  5. Step 5: Solve for x
    x = 8,967,625,875.60/107,534
  6. Step 6: Final answer
    x = 83,393.40

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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.