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Finding the Fourth Proportional to 111,367, 153,693.80 and 61,066

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Solution

The fourth proportional to 111,367, 153,693.80 and 61,066 is: 84,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,367 : 153,693.80 = 61,066 : x
  2. Step 2: Convert to fraction form
    111,367/153,693.80 = 61,066/x
  3. Step 3: Cross multiply
    111,367x = 153,693.80 × 61,066
  4. Step 4: Simplify right side
    111,367x = 9,385,465,590.80
  5. Step 5: Solve for x
    x = 9,385,465,590.80/111,367
  6. Step 6: Final answer
    x = 84,275.10

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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.