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Finding the Fourth Proportional to 156,838.32, 216,437.76 and 85,218.93

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Solution

The fourth proportional to 156,838.32, 216,437.76 and 85,218.93 is: 117,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,838.32 : 216,437.76 = 85,218.93 : x
  2. Step 2: Convert to fraction form
    156,838.32/216,437.76 = 85,218.93/x
  3. Step 3: Cross multiply
    156,838.32x = 216,437.76 × 85,218.93
  4. Step 4: Simplify right side
    156,838.32x = 18,444,594,318.80
  5. Step 5: Solve for x
    x = 18,444,594,318.80/156,838.32
  6. Step 6: Final answer
    x = 117,602.60

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