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Finding the Fourth Proportional to 357,095.64, 535,381.85 and 132,457.17

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Solution

The fourth proportional to 357,095.64, 535,381.85 and 132,457.17 is: 198,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,095.64 : 535,381.85 = 132,457.17 : x
  2. Step 2: Convert to fraction form
    357,095.64/535,381.85 = 132,457.17/x
  3. Step 3: Cross multiply
    357,095.64x = 535,381.85 × 132,457.17
  4. Step 4: Simplify right side
    357,095.64x = 70,915,167,059.19
  5. Step 5: Solve for x
    x = 70,915,167,059.19/357,095.64
  6. Step 6: Final answer
    x = 198,588.72

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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.