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Finding the Fourth Proportional to 117,031.68, 175,547.52 and 64,414.08

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Solution

The fourth proportional to 117,031.68, 175,547.52 and 64,414.08 is: 96,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,031.68 : 175,547.52 = 64,414.08 : x
  2. Step 2: Convert to fraction form
    117,031.68/175,547.52 = 64,414.08/x
  3. Step 3: Cross multiply
    117,031.68x = 175,547.52 × 64,414.08
  4. Step 4: Simplify right side
    117,031.68x = 11,307,731,997.08
  5. Step 5: Solve for x
    x = 11,307,731,997.08/117,031.68
  6. Step 6: Final answer
    x = 96,621.12

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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.