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Finding the Fourth Proportional to 224,785.86, 310,248 and 144,315.06

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Solution

The fourth proportional to 224,785.86, 310,248 and 144,315.06 is: 199,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,785.86 : 310,248 = 144,315.06 : x
  2. Step 2: Convert to fraction form
    224,785.86/310,248 = 144,315.06/x
  3. Step 3: Cross multiply
    224,785.86x = 310,248 × 144,315.06
  4. Step 4: Simplify right side
    224,785.86x = 44,773,458,734.88
  5. Step 5: Solve for x
    x = 44,773,458,734.88/224,785.86
  6. Step 6: Final answer
    x = 199,182.72

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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.