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Finding the Fourth Proportional to 155,925, 233,926.47 and 45,117

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Solution

The fourth proportional to 155,925, 233,926.47 and 45,117 is: 67,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,925 : 233,926.47 = 45,117 : x
  2. Step 2: Convert to fraction form
    155,925/233,926.47 = 45,117/x
  3. Step 3: Cross multiply
    155,925x = 233,926.47 × 45,117
  4. Step 4: Simplify right side
    155,925x = 10,554,060,546.99
  5. Step 5: Solve for x
    x = 10,554,060,546.99/155,925
  6. Step 6: Final answer
    x = 67,686.78

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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.