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Finding the Fourth Proportional to 357,909.84, 536,749.92 and 158,225.76

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Solution

The fourth proportional to 357,909.84, 536,749.92 and 158,225.76 is: 237,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,909.84 : 536,749.92 = 158,225.76 : x
  2. Step 2: Convert to fraction form
    357,909.84/536,749.92 = 158,225.76/x
  3. Step 3: Cross multiply
    357,909.84x = 536,749.92 × 158,225.76
  4. Step 4: Simplify right side
    357,909.84x = 84,927,664,021.94
  5. Step 5: Solve for x
    x = 84,927,664,021.94/357,909.84
  6. Step 6: Final answer
    x = 237,287.87

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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.