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Finding the Fourth Proportional to 292,568.86, 403,742.69 and 158,432.86

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Solution

The fourth proportional to 292,568.86, 403,742.69 and 158,432.86 is: 218,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,568.86 : 403,742.69 = 158,432.86 : x
  2. Step 2: Convert to fraction form
    292,568.86/403,742.69 = 158,432.86/x
  3. Step 3: Cross multiply
    292,568.86x = 403,742.69 × 158,432.86
  4. Step 4: Simplify right side
    292,568.86x = 63,966,109,080.79
  5. Step 5: Solve for x
    x = 63,966,109,080.79/292,568.86
  6. Step 6: Final answer
    x = 218,636.08

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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.