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Finding the Fourth Proportional to 151,724.40, 227,597.40 and 46,543.20

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Solution

The fourth proportional to 151,724.40, 227,597.40 and 46,543.20 is: 69,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,724.40 : 227,597.40 = 46,543.20 : x
  2. Step 2: Convert to fraction form
    151,724.40/227,597.40 = 46,543.20/x
  3. Step 3: Cross multiply
    151,724.40x = 227,597.40 × 46,543.20
  4. Step 4: Simplify right side
    151,724.40x = 10,593,111,307.68
  5. Step 5: Solve for x
    x = 10,593,111,307.68/151,724.40
  6. Step 6: Final answer
    x = 69,818.11

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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.