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Finding the Fourth Proportional to 152,854.72, 210,929.23 and 84,868.18

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Solution

The fourth proportional to 152,854.72, 210,929.23 and 84,868.18 is: 117,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,854.72 : 210,929.23 = 84,868.18 : x
  2. Step 2: Convert to fraction form
    152,854.72/210,929.23 = 84,868.18/x
  3. Step 3: Cross multiply
    152,854.72x = 210,929.23 × 84,868.18
  4. Step 4: Simplify right side
    152,854.72x = 17,901,179,437.66
  5. Step 5: Solve for x
    x = 17,901,179,437.66/152,854.72
  6. Step 6: Final answer
    x = 117,112.38

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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.