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Finding the Fourth Proportional to 282,053.60, 422,734.80 and 124,114.40

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Solution

The fourth proportional to 282,053.60, 422,734.80 and 124,114.40 is: 186,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,053.60 : 422,734.80 = 124,114.40 : x
  2. Step 2: Convert to fraction form
    282,053.60/422,734.80 = 124,114.40/x
  3. Step 3: Cross multiply
    282,053.60x = 422,734.80 × 124,114.40
  4. Step 4: Simplify right side
    282,053.60x = 52,467,476,061.12
  5. Step 5: Solve for x
    x = 52,467,476,061.12/282,053.60
  6. Step 6: Final answer
    x = 186,019.52

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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.