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Finding the Fourth Proportional to 114,514.92, 158,030.64 and 69,802.92

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Solution

The fourth proportional to 114,514.92, 158,030.64 and 69,802.92 is: 96,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514.92 : 158,030.64 = 69,802.92 : x
  2. Step 2: Convert to fraction form
    114,514.92/158,030.64 = 69,802.92/x
  3. Step 3: Cross multiply
    114,514.92x = 158,030.64 × 69,802.92
  4. Step 4: Simplify right side
    114,514.92x = 11,031,000,121.47
  5. Step 5: Solve for x
    x = 11,031,000,121.47/114,514.92
  6. Step 6: Final answer
    x = 96,328.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.