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Finding the Fourth Proportional to 357,423.76, 536,019 and 157,736.08

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Solution

The fourth proportional to 357,423.76, 536,019 and 157,736.08 is: 236,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,423.76 : 536,019 = 157,736.08 : x
  2. Step 2: Convert to fraction form
    357,423.76/536,019 = 157,736.08/x
  3. Step 3: Cross multiply
    357,423.76x = 536,019 × 157,736.08
  4. Step 4: Simplify right side
    357,423.76x = 84,549,535,865.52
  5. Step 5: Solve for x
    x = 84,549,535,865.52/357,423.76
  6. Step 6: Final answer
    x = 236,552.65

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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.