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Finding the Fourth Proportional to 153,266.70, 211,512.12 and 84,358.11

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Solution

The fourth proportional to 153,266.70, 211,512.12 and 84,358.11 is: 116,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,266.70 : 211,512.12 = 84,358.11 : x
  2. Step 2: Convert to fraction form
    153,266.70/211,512.12 = 84,358.11/x
  3. Step 3: Cross multiply
    153,266.70x = 211,512.12 × 84,358.11
  4. Step 4: Simplify right side
    153,266.70x = 17,842,762,685.29
  5. Step 5: Solve for x
    x = 17,842,762,685.29/153,266.70
  6. Step 6: Final answer
    x = 116,416.43

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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.