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Finding the Fourth Proportional to 152,031.64, 209,803.14 and 84,963.64

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Solution

The fourth proportional to 152,031.64, 209,803.14 and 84,963.64 is: 117,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031.64 : 209,803.14 = 84,963.64 : x
  2. Step 2: Convert to fraction form
    152,031.64/209,803.14 = 84,963.64/x
  3. Step 3: Cross multiply
    152,031.64x = 209,803.14 × 84,963.64
  4. Step 4: Simplify right side
    152,031.64x = 17,825,638,457.83
  5. Step 5: Solve for x
    x = 17,825,638,457.83/152,031.64
  6. Step 6: Final answer
    x = 117,249.53

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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.