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Finding the Fourth Proportional to 111,536.16, 153,920.16 and 61,238.40

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Solution

The fourth proportional to 111,536.16, 153,920.16 and 61,238.40 is: 84,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,536.16 : 153,920.16 = 61,238.40 : x
  2. Step 2: Convert to fraction form
    111,536.16/153,920.16 = 61,238.40/x
  3. Step 3: Cross multiply
    111,536.16x = 153,920.16 × 61,238.40
  4. Step 4: Simplify right side
    111,536.16x = 9,425,824,326.14
  5. Step 5: Solve for x
    x = 9,425,824,326.14/111,536.16
  6. Step 6: Final answer
    x = 84,509.13

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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.