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Finding the Fourth Proportional to 152,043.11, 209,823.86 and 84,064.46

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Solution

The fourth proportional to 152,043.11, 209,823.86 and 84,064.46 is: 116,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,043.11 : 209,823.86 = 84,064.46 : x
  2. Step 2: Convert to fraction form
    152,043.11/209,823.86 = 84,064.46/x
  3. Step 3: Cross multiply
    152,043.11x = 209,823.86 × 84,064.46
  4. Step 4: Simplify right side
    152,043.11x = 17,638,730,220.74
  5. Step 5: Solve for x
    x = 17,638,730,220.74/152,043.11
  6. Step 6: Final answer
    x = 116,011.38

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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.