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Finding the Fourth Proportional to 261,428, 392,200.32 and 95,216

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Solution

The fourth proportional to 261,428, 392,200.32 and 95,216 is: 142,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,428 : 392,200.32 = 95,216 : x
  2. Step 2: Convert to fraction form
    261,428/392,200.32 = 95,216/x
  3. Step 3: Cross multiply
    261,428x = 392,200.32 × 95,216
  4. Step 4: Simplify right side
    261,428x = 37,343,745,669.12
  5. Step 5: Solve for x
    x = 37,343,745,669.12/261,428
  6. Step 6: Final answer
    x = 142,845.24

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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.