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Finding the Fourth Proportional to 187,852.80, 282,038.40 and 148,454.40

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Solution

The fourth proportional to 187,852.80, 282,038.40 and 148,454.40 is: 222,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,852.80 : 282,038.40 = 148,454.40 : x
  2. Step 2: Convert to fraction form
    187,852.80/282,038.40 = 148,454.40/x
  3. Step 3: Cross multiply
    187,852.80x = 282,038.40 × 148,454.40
  4. Step 4: Simplify right side
    187,852.80x = 41,869,841,448.96
  5. Step 5: Solve for x
    x = 41,869,841,448.96/187,852.80
  6. Step 6: Final answer
    x = 222,886.44

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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.