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Finding the Fourth Proportional to 157,641.60, 236,462.40 and 144,739.20

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Solution

The fourth proportional to 157,641.60, 236,462.40 and 144,739.20 is: 217,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,641.60 : 236,462.40 = 144,739.20 : x
  2. Step 2: Convert to fraction form
    157,641.60/236,462.40 = 144,739.20/x
  3. Step 3: Cross multiply
    157,641.60x = 236,462.40 × 144,739.20
  4. Step 4: Simplify right side
    157,641.60x = 34,225,378,606.08
  5. Step 5: Solve for x
    x = 34,225,378,606.08/157,641.60
  6. Step 6: Final answer
    x = 217,108.80

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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.