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Finding the Fourth Proportional to 213,723.60, 320,585.40 and 89,048.40

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Solution

The fourth proportional to 213,723.60, 320,585.40 and 89,048.40 is: 133,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,723.60 : 320,585.40 = 89,048.40 : x
  2. Step 2: Convert to fraction form
    213,723.60/320,585.40 = 89,048.40/x
  3. Step 3: Cross multiply
    213,723.60x = 320,585.40 × 89,048.40
  4. Step 4: Simplify right side
    213,723.60x = 28,547,616,933.36
  5. Step 5: Solve for x
    x = 28,547,616,933.36/213,723.60
  6. Step 6: Final answer
    x = 133,572.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.