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Finding the Fourth Proportional to 261,722.64, 360,814.44 and 176,705.04

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Solution

The fourth proportional to 261,722.64, 360,814.44 and 176,705.04 is: 243,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,722.64 : 360,814.44 = 176,705.04 : x
  2. Step 2: Convert to fraction form
    261,722.64/360,814.44 = 176,705.04/x
  3. Step 3: Cross multiply
    261,722.64x = 360,814.44 × 176,705.04
  4. Step 4: Simplify right side
    261,722.64x = 63,757,730,052.78
  5. Step 5: Solve for x
    x = 63,757,730,052.78/261,722.64
  6. Step 6: Final answer
    x = 243,608.00

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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.