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Finding the Fourth Proportional to 114,307.53, 157,821.47 and 71,352.45

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Solution

The fourth proportional to 114,307.53, 157,821.47 and 71,352.45 is: 98,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,307.53 : 157,821.47 = 71,352.45 : x
  2. Step 2: Convert to fraction form
    114,307.53/157,821.47 = 71,352.45/x
  3. Step 3: Cross multiply
    114,307.53x = 157,821.47 × 71,352.45
  4. Step 4: Simplify right side
    114,307.53x = 11,260,948,190.34
  5. Step 5: Solve for x
    x = 11,260,948,190.34/114,307.53
  6. Step 6: Final answer
    x = 98,514.49

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Why These Related Problems?

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