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Finding the Fourth Proportional to 100,945.84, 151,224.70 and 56,437.61

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Solution

The fourth proportional to 100,945.84, 151,224.70 and 56,437.61 is: 84,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,945.84 : 151,224.70 = 56,437.61 : x
  2. Step 2: Convert to fraction form
    100,945.84/151,224.70 = 56,437.61/x
  3. Step 3: Cross multiply
    100,945.84x = 151,224.70 × 56,437.61
  4. Step 4: Simplify right side
    100,945.84x = 8,534,760,640.97
  5. Step 5: Solve for x
    x = 8,534,760,640.97/100,945.84
  6. Step 6: Final answer
    x = 84,547.92

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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.