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Finding the Fourth Proportional to 225,064.62, 310,442.76 and 144,364.32

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Solution

The fourth proportional to 225,064.62, 310,442.76 and 144,364.32 is: 199,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,064.62 : 310,442.76 = 144,364.32 : x
  2. Step 2: Convert to fraction form
    225,064.62/310,442.76 = 144,364.32/x
  3. Step 3: Cross multiply
    225,064.62x = 310,442.76 × 144,364.32
  4. Step 4: Simplify right side
    225,064.62x = 44,816,857,946.32
  5. Step 5: Solve for x
    x = 44,816,857,946.32/225,064.62
  6. Step 6: Final answer
    x = 199,128.85

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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.