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Finding the Fourth Proportional to 257,240.52, 385,887.50 and 70,252

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Solution

The fourth proportional to 257,240.52, 385,887.50 and 70,252 is: 105,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,240.52 : 385,887.50 = 70,252 : x
  2. Step 2: Convert to fraction form
    257,240.52/385,887.50 = 70,252/x
  3. Step 3: Cross multiply
    257,240.52x = 385,887.50 × 70,252
  4. Step 4: Simplify right side
    257,240.52x = 27,109,368,650
  5. Step 5: Solve for x
    x = 27,109,368,650/257,240.52
  6. Step 6: Final answer
    x = 105,385.30

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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.