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Finding the Fourth Proportional to 152,877.31, 210,977.71 and 84,894.55

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Solution

The fourth proportional to 152,877.31, 210,977.71 and 84,894.55 is: 117,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,877.31 : 210,977.71 = 84,894.55 : x
  2. Step 2: Convert to fraction form
    152,877.31/210,977.71 = 84,894.55/x
  3. Step 3: Cross multiply
    152,877.31x = 210,977.71 × 84,894.55
  4. Step 4: Simplify right side
    152,877.31x = 17,910,857,750.48
  5. Step 5: Solve for x
    x = 17,910,857,750.48/152,877.31
  6. Step 6: Final answer
    x = 117,158.38

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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.