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Finding the Fourth Proportional to 213,387.42, 294,224.85 and 145,444.62

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Solution

The fourth proportional to 213,387.42, 294,224.85 and 145,444.62 is: 200,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,387.42 : 294,224.85 = 145,444.62 : x
  2. Step 2: Convert to fraction form
    213,387.42/294,224.85 = 145,444.62/x
  3. Step 3: Cross multiply
    213,387.42x = 294,224.85 × 145,444.62
  4. Step 4: Simplify right side
    213,387.42x = 42,793,421,502.81
  5. Step 5: Solve for x
    x = 42,793,421,502.81/213,387.42
  6. Step 6: Final answer
    x = 200,543.32

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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.