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Finding the Fourth Proportional to 202,877.60, 304,316.40 and 76,498.40

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Solution

The fourth proportional to 202,877.60, 304,316.40 and 76,498.40 is: 114,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877.60 : 304,316.40 = 76,498.40 : x
  2. Step 2: Convert to fraction form
    202,877.60/304,316.40 = 76,498.40/x
  3. Step 3: Cross multiply
    202,877.60x = 304,316.40 × 76,498.40
  4. Step 4: Simplify right side
    202,877.60x = 23,279,717,693.76
  5. Step 5: Solve for x
    x = 23,279,717,693.76/202,877.60
  6. Step 6: Final answer
    x = 114,747.60

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1.5x scale

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.