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Finding the Fourth Proportional to 180,402.71, 248,952 and 99,830.18

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Solution

The fourth proportional to 180,402.71, 248,952 and 99,830.18 is: 137,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,402.71 : 248,952 = 99,830.18 : x
  2. Step 2: Convert to fraction form
    180,402.71/248,952 = 99,830.18/x
  3. Step 3: Cross multiply
    180,402.71x = 248,952 × 99,830.18
  4. Step 4: Simplify right side
    180,402.71x = 24,852,921,726.60
  5. Step 5: Solve for x
    x = 24,852,921,726.60/180,402.71
  6. Step 6: Final answer
    x = 137,763.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.