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Finding the Fourth Proportional to 224,783.86, 310,206.19 and 122,815.63

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Solution

The fourth proportional to 224,783.86, 310,206.19 and 122,815.63 is: 169,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,783.86 : 310,206.19 = 122,815.63 : x
  2. Step 2: Convert to fraction form
    224,783.86/310,206.19 = 122,815.63/x
  3. Step 3: Cross multiply
    224,783.86x = 310,206.19 × 122,815.63
  4. Step 4: Simplify right side
    224,783.86x = 38,098,169,492.78
  5. Step 5: Solve for x
    x = 38,098,169,492.78/224,783.86
  6. Step 6: Final answer
    x = 169,488.01

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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.