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Finding the Fourth Proportional to 208,233.40, 312,257.76 and 95,886.40

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Solution

The fourth proportional to 208,233.40, 312,257.76 and 95,886.40 is: 143,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,233.40 : 312,257.76 = 95,886.40 : x
  2. Step 2: Convert to fraction form
    208,233.40/312,257.76 = 95,886.40/x
  3. Step 3: Cross multiply
    208,233.40x = 312,257.76 × 95,886.40
  4. Step 4: Simplify right side
    208,233.40x = 29,941,272,478.46
  5. Step 5: Solve for x
    x = 29,941,272,478.46/208,233.40
  6. Step 6: Final answer
    x = 143,787.08

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1.5x scale

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.