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Finding the Fourth Proportional to 213,132.16, 293,715.42 and 152,597.66

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Solution

The fourth proportional to 213,132.16, 293,715.42 and 152,597.66 is: 210,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,132.16 : 293,715.42 = 152,597.66 : x
  2. Step 2: Convert to fraction form
    213,132.16/293,715.42 = 152,597.66/x
  3. Step 3: Cross multiply
    213,132.16x = 293,715.42 × 152,597.66
  4. Step 4: Simplify right side
    213,132.16x = 44,820,283,757.10
  5. Step 5: Solve for x
    x = 44,820,283,757.10/213,132.16
  6. Step 6: Final answer
    x = 210,293.39

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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.