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Finding the Fourth Proportional to 136,547.76, 204,680.90 and 52,284.90

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Solution

The fourth proportional to 136,547.76, 204,680.90 and 52,284.90 is: 78,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,547.76 : 204,680.90 = 52,284.90 : x
  2. Step 2: Convert to fraction form
    136,547.76/204,680.90 = 52,284.90/x
  3. Step 3: Cross multiply
    136,547.76x = 204,680.90 × 52,284.90
  4. Step 4: Simplify right side
    136,547.76x = 10,701,720,388.41
  5. Step 5: Solve for x
    x = 10,701,720,388.41/136,547.76
  6. Step 6: Final answer
    x = 78,373.46

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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.