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Finding the Fourth Proportional to 255,700.40, 383,291.40 and 150,465.20

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Solution

The fourth proportional to 255,700.40, 383,291.40 and 150,465.20 is: 225,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,700.40 : 383,291.40 = 150,465.20 : x
  2. Step 2: Convert to fraction form
    255,700.40/383,291.40 = 150,465.20/x
  3. Step 3: Cross multiply
    255,700.40x = 383,291.40 × 150,465.20
  4. Step 4: Simplify right side
    255,700.40x = 57,672,017,159.28
  5. Step 5: Solve for x
    x = 57,672,017,159.28/255,700.40
  6. Step 6: Final answer
    x = 225,545.28

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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.