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Finding the Fourth Proportional to 114,383.62, 157,849.29 and 64,082.98

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Solution

The fourth proportional to 114,383.62, 157,849.29 and 64,082.98 is: 88,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,383.62 : 157,849.29 = 64,082.98 : x
  2. Step 2: Convert to fraction form
    114,383.62/157,849.29 = 64,082.98/x
  3. Step 3: Cross multiply
    114,383.62x = 157,849.29 × 64,082.98
  4. Step 4: Simplify right side
    114,383.62x = 10,115,452,894.08
  5. Step 5: Solve for x
    x = 10,115,452,894.08/114,383.62
  6. Step 6: Final answer
    x = 88,434.45

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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.