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Finding the Fourth Proportional to 162,854.40, 244,339.20 and 157,094.40

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Solution

The fourth proportional to 162,854.40, 244,339.20 and 157,094.40 is: 235,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,854.40 : 244,339.20 = 157,094.40 : x
  2. Step 2: Convert to fraction form
    162,854.40/244,339.20 = 157,094.40/x
  3. Step 3: Cross multiply
    162,854.40x = 244,339.20 × 157,094.40
  4. Step 4: Simplify right side
    162,854.40x = 38,384,320,020.48
  5. Step 5: Solve for x
    x = 38,384,320,020.48/162,854.40
  6. Step 6: Final answer
    x = 235,697.16

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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.