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Finding the Fourth Proportional to 153,322.50, 211,585.18 and 86,254.50

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Solution

The fourth proportional to 153,322.50, 211,585.18 and 86,254.50 is: 119,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,322.50 : 211,585.18 = 86,254.50 : x
  2. Step 2: Convert to fraction form
    153,322.50/211,585.18 = 86,254.50/x
  3. Step 3: Cross multiply
    153,322.50x = 211,585.18 × 86,254.50
  4. Step 4: Simplify right side
    153,322.50x = 18,250,173,908.31
  5. Step 5: Solve for x
    x = 18,250,173,908.31/153,322.50
  6. Step 6: Final answer
    x = 119,031.28

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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.