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Finding the Fourth Proportional to 153,585.28, 211,959.93 and 85,624.12

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Solution

The fourth proportional to 153,585.28, 211,959.93 and 85,624.12 is: 118,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585.28 : 211,959.93 = 85,624.12 : x
  2. Step 2: Convert to fraction form
    153,585.28/211,959.93 = 85,624.12/x
  3. Step 3: Cross multiply
    153,585.28x = 211,959.93 × 85,624.12
  4. Step 4: Simplify right side
    153,585.28x = 18,148,882,481.51
  5. Step 5: Solve for x
    x = 18,148,882,481.51/153,585.28
  6. Step 6: Final answer
    x = 118,168.11

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1.5x scale

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.