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Finding the Fourth Proportional to 187,862.80, 282,053.40 and 148,464.40

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Solution

The fourth proportional to 187,862.80, 282,053.40 and 148,464.40 is: 222,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,862.80 : 282,053.40 = 148,464.40 : x
  2. Step 2: Convert to fraction form
    187,862.80/282,053.40 = 148,464.40/x
  3. Step 3: Cross multiply
    187,862.80x = 282,053.40 × 148,464.40
  4. Step 4: Simplify right side
    187,862.80x = 41,874,888,798.96
  5. Step 5: Solve for x
    x = 41,874,888,798.96/187,862.80
  6. Step 6: Final answer
    x = 222,901.44

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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.