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Finding the Fourth Proportional to 107,536, 148,399.68 and 60,432

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Solution

The fourth proportional to 107,536, 148,399.68 and 60,432 is: 83,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,536 : 148,399.68 = 60,432 : x
  2. Step 2: Convert to fraction form
    107,536/148,399.68 = 60,432/x
  3. Step 3: Cross multiply
    107,536x = 148,399.68 × 60,432
  4. Step 4: Simplify right side
    107,536x = 8,968,089,461.76
  5. Step 5: Solve for x
    x = 8,968,089,461.76/107,536
  6. Step 6: Final answer
    x = 83,396.16

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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.