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Finding the Fourth Proportional to 159,582.80, 238,913.40 and 97,374.80

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Solution

The fourth proportional to 159,582.80, 238,913.40 and 97,374.80 is: 145,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,582.80 : 238,913.40 = 97,374.80 : x
  2. Step 2: Convert to fraction form
    159,582.80/238,913.40 = 97,374.80/x
  3. Step 3: Cross multiply
    159,582.80x = 238,913.40 × 97,374.80
  4. Step 4: Simplify right side
    159,582.80x = 23,264,144,542.32
  5. Step 5: Solve for x
    x = 23,264,144,542.32/159,582.80
  6. Step 6: Final answer
    x = 145,781.03

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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.