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Finding the Fourth Proportional to 154,698.23, 232,047.52 and 42,379.41

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Solution

The fourth proportional to 154,698.23, 232,047.52 and 42,379.41 is: 63,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,698.23 : 232,047.52 = 42,379.41 : x
  2. Step 2: Convert to fraction form
    154,698.23/232,047.52 = 42,379.41/x
  3. Step 3: Cross multiply
    154,698.23x = 232,047.52 × 42,379.41
  4. Step 4: Simplify right side
    154,698.23x = 9,834,035,829.33
  5. Step 5: Solve for x
    x = 9,834,035,829.33/154,698.23
  6. Step 6: Final answer
    x = 63,569.16

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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.