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Finding the Fourth Proportional to 257,009.60, 385,514.40 and 99,243.20

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Solution

The fourth proportional to 257,009.60, 385,514.40 and 99,243.20 is: 148,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,009.60 : 385,514.40 = 99,243.20 : x
  2. Step 2: Convert to fraction form
    257,009.60/385,514.40 = 99,243.20/x
  3. Step 3: Cross multiply
    257,009.60x = 385,514.40 × 99,243.20
  4. Step 4: Simplify right side
    257,009.60x = 38,259,682,702.08
  5. Step 5: Solve for x
    x = 38,259,682,702.08/257,009.60
  6. Step 6: Final answer
    x = 148,864.80

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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.