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Finding the Fourth Proportional to 153,767.95, 230,668.31 and 65,030.42

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Solution

The fourth proportional to 153,767.95, 230,668.31 and 65,030.42 is: 97,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,767.95 : 230,668.31 = 65,030.42 : x
  2. Step 2: Convert to fraction form
    153,767.95/230,668.31 = 65,030.42/x
  3. Step 3: Cross multiply
    153,767.95x = 230,668.31 × 65,030.42
  4. Step 4: Simplify right side
    153,767.95x = 15,000,457,079.99
  5. Step 5: Solve for x
    x = 15,000,457,079.99/153,767.95
  6. Step 6: Final answer
    x = 97,552.56

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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.