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Finding the Fourth Proportional to 264,081.76, 364,479.40 and 156,711

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Solution

The fourth proportional to 264,081.76, 364,479.40 and 156,711 is: 216,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,081.76 : 364,479.40 = 156,711 : x
  2. Step 2: Convert to fraction form
    264,081.76/364,479.40 = 156,711/x
  3. Step 3: Cross multiply
    264,081.76x = 364,479.40 × 156,711
  4. Step 4: Simplify right side
    264,081.76x = 57,117,931,253.40
  5. Step 5: Solve for x
    x = 57,117,931,253.40/264,081.76
  6. Step 6: Final answer
    x = 216,288.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.