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Finding the Fourth Proportional to 180,456, 249,023.04 and 99,887.04

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Solution

The fourth proportional to 180,456, 249,023.04 and 99,887.04 is: 137,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,456 : 249,023.04 = 99,887.04 : x
  2. Step 2: Convert to fraction form
    180,456/249,023.04 = 99,887.04/x
  3. Step 3: Cross multiply
    180,456x = 249,023.04 × 99,887.04
  4. Step 4: Simplify right side
    180,456x = 24,874,174,357.40
  5. Step 5: Solve for x
    x = 24,874,174,357.40/180,456
  6. Step 6: Final answer
    x = 137,840.66

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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.