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Finding the Fourth Proportional to 152,726.40, 229,089.60 and 41,918.40

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Solution

The fourth proportional to 152,726.40, 229,089.60 and 41,918.40 is: 62,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,726.40 : 229,089.60 = 41,918.40 : x
  2. Step 2: Convert to fraction form
    152,726.40/229,089.60 = 41,918.40/x
  3. Step 3: Cross multiply
    152,726.40x = 229,089.60 × 41,918.40
  4. Step 4: Simplify right side
    152,726.40x = 9,603,069,488.64
  5. Step 5: Solve for x
    x = 9,603,069,488.64/152,726.40
  6. Step 6: Final answer
    x = 62,877.60

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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.