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Finding the Fourth Proportional to 442,155.57, 663,373.53 and 157,840.02

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Solution

The fourth proportional to 442,155.57, 663,373.53 and 157,840.02 is: 236,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,155.57 : 663,373.53 = 157,840.02 : x
  2. Step 2: Convert to fraction form
    442,155.57/663,373.53 = 157,840.02/x
  3. Step 3: Cross multiply
    442,155.57x = 663,373.53 × 157,840.02
  4. Step 4: Simplify right side
    442,155.57x = 104,706,891,242.67
  5. Step 5: Solve for x
    x = 104,706,891,242.67/442,155.57
  6. Step 6: Final answer
    x = 236,810.07

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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.