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Finding the Fourth Proportional to 160,738.16, 241,123.44 and 42,417.68

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Solution

The fourth proportional to 160,738.16, 241,123.44 and 42,417.68 is: 63,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,738.16 : 241,123.44 = 42,417.68 : x
  2. Step 2: Convert to fraction form
    160,738.16/241,123.44 = 42,417.68/x
  3. Step 3: Cross multiply
    160,738.16x = 241,123.44 × 42,417.68
  4. Step 4: Simplify right side
    160,738.16x = 10,227,896,918.42
  5. Step 5: Solve for x
    x = 10,227,896,918.42/160,738.16
  6. Step 6: Final answer
    x = 63,630.80

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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.