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Finding the Fourth Proportional to 225,184, 310,631.04 and 144,623.80

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Solution

The fourth proportional to 225,184, 310,631.04 and 144,623.80 is: 199,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,184 : 310,631.04 = 144,623.80 : x
  2. Step 2: Convert to fraction form
    225,184/310,631.04 = 144,623.80/x
  3. Step 3: Cross multiply
    225,184x = 310,631.04 × 144,623.80
  4. Step 4: Simplify right side
    225,184x = 44,924,641,402.75
  5. Step 5: Solve for x
    x = 44,924,641,402.75/225,184
  6. Step 6: Final answer
    x = 199,501.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.