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Finding the Fourth Proportional to 224,886.92, 310,387.24 and 144,416.12

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Solution

The fourth proportional to 224,886.92, 310,387.24 and 144,416.12 is: 199,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,886.92 : 310,387.24 = 144,416.12 : x
  2. Step 2: Convert to fraction form
    224,886.92/310,387.24 = 144,416.12/x
  3. Step 3: Cross multiply
    224,886.92x = 310,387.24 × 144,416.12
  4. Step 4: Simplify right side
    224,886.92x = 44,824,920,898.31
  5. Step 5: Solve for x
    x = 44,824,920,898.31/224,886.92
  6. Step 6: Final answer
    x = 199,322.05

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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.