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Finding the Fourth Proportional to 255,045.60, 382,568.40 and 136,947.60

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Solution

The fourth proportional to 255,045.60, 382,568.40 and 136,947.60 is: 205,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,045.60 : 382,568.40 = 136,947.60 : x
  2. Step 2: Convert to fraction form
    255,045.60/382,568.40 = 136,947.60/x
  3. Step 3: Cross multiply
    255,045.60x = 382,568.40 × 136,947.60
  4. Step 4: Simplify right side
    255,045.60x = 52,391,824,215.84
  5. Step 5: Solve for x
    x = 52,391,824,215.84/255,045.60
  6. Step 6: Final answer
    x = 205,421.40

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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.