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Finding the Fourth Proportional to 261,803.64, 392,588.82 and 95,475

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Solution

The fourth proportional to 261,803.64, 392,588.82 and 95,475 is: 143,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,803.64 : 392,588.82 = 95,475 : x
  2. Step 2: Convert to fraction form
    261,803.64/392,588.82 = 95,475/x
  3. Step 3: Cross multiply
    261,803.64x = 392,588.82 × 95,475
  4. Step 4: Simplify right side
    261,803.64x = 37,482,417,589.50
  5. Step 5: Solve for x
    x = 37,482,417,589.50/261,803.64
  6. Step 6: Final answer
    x = 143,169.96

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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.