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Finding the Fourth Proportional to 178,030.26, 266,959.26 and 65,763.36

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Solution

The fourth proportional to 178,030.26, 266,959.26 and 65,763.36 is: 98,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,030.26 : 266,959.26 = 65,763.36 : x
  2. Step 2: Convert to fraction form
    178,030.26/266,959.26 = 65,763.36/x
  3. Step 3: Cross multiply
    178,030.26x = 266,959.26 × 65,763.36
  4. Step 4: Simplify right side
    178,030.26x = 17,556,137,920.71
  5. Step 5: Solve for x
    x = 17,556,137,920.71/178,030.26
  6. Step 6: Final answer
    x = 98,613.22

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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.