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Finding the Fourth Proportional to 357,618.96, 536,417.37 and 147,098.34

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Solution

The fourth proportional to 357,618.96, 536,417.37 and 147,098.34 is: 220,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,618.96 : 536,417.37 = 147,098.34 : x
  2. Step 2: Convert to fraction form
    357,618.96/536,417.37 = 147,098.34/x
  3. Step 3: Cross multiply
    357,618.96x = 536,417.37 × 147,098.34
  4. Step 4: Simplify right side
    357,618.96x = 78,906,104,674.17
  5. Step 5: Solve for x
    x = 78,906,104,674.17/357,618.96
  6. Step 6: Final answer
    x = 220,642.96

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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.