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Finding the Fourth Proportional to 114,307.33, 157,821.13 and 71,352.22

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Solution

The fourth proportional to 114,307.33, 157,821.13 and 71,352.22 is: 98,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,307.33 : 157,821.13 = 71,352.22 : x
  2. Step 2: Convert to fraction form
    114,307.33/157,821.13 = 71,352.22/x
  3. Step 3: Cross multiply
    114,307.33x = 157,821.13 × 71,352.22
  4. Step 4: Simplify right side
    114,307.33x = 11,260,887,415.48
  5. Step 5: Solve for x
    x = 11,260,887,415.48/114,307.33
  6. Step 6: Final answer
    x = 98,514.13

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1.5x scale

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.