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Finding the Fourth Proportional to 121,412.68, 182,199.89 and 42,526.78

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Solution

The fourth proportional to 121,412.68, 182,199.89 and 42,526.78 is: 63,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,412.68 : 182,199.89 = 42,526.78 : x
  2. Step 2: Convert to fraction form
    121,412.68/182,199.89 = 42,526.78/x
  3. Step 3: Cross multiply
    121,412.68x = 182,199.89 × 42,526.78
  4. Step 4: Simplify right side
    121,412.68x = 7,748,374,638.05
  5. Step 5: Solve for x
    x = 7,748,374,638.05/121,412.68
  6. Step 6: Final answer
    x = 63,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.