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Finding the Fourth Proportional to 225,219.16, 310,802.42 and 123,244.64

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Solution

The fourth proportional to 225,219.16, 310,802.42 and 123,244.64 is: 170,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,219.16 : 310,802.42 = 123,244.64 : x
  2. Step 2: Convert to fraction form
    225,219.16/310,802.42 = 123,244.64/x
  3. Step 3: Cross multiply
    225,219.16x = 310,802.42 × 123,244.64
  4. Step 4: Simplify right side
    225,219.16x = 38,304,731,590.39
  5. Step 5: Solve for x
    x = 38,304,731,590.39/225,219.16
  6. Step 6: Final answer
    x = 170,077.59

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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.