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Finding the Fourth Proportional to 123,273.60, 184,802.40 and 83,702.40

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Solution

The fourth proportional to 123,273.60, 184,802.40 and 83,702.40 is: 125,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,273.60 : 184,802.40 = 83,702.40 : x
  2. Step 2: Convert to fraction form
    123,273.60/184,802.40 = 83,702.40/x
  3. Step 3: Cross multiply
    123,273.60x = 184,802.40 × 83,702.40
  4. Step 4: Simplify right side
    123,273.60x = 15,468,404,405.76
  5. Step 5: Solve for x
    x = 15,468,404,405.76/123,273.60
  6. Step 6: Final answer
    x = 125,480.27

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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.