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Finding the Fourth Proportional to 287,541.60, 430,988.40 and 137,853.60

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Solution

The fourth proportional to 287,541.60, 430,988.40 and 137,853.60 is: 206,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,541.60 : 430,988.40 = 137,853.60 : x
  2. Step 2: Convert to fraction form
    287,541.60/430,988.40 = 137,853.60/x
  3. Step 3: Cross multiply
    287,541.60x = 430,988.40 × 137,853.60
  4. Step 4: Simplify right side
    287,541.60x = 59,413,302,498.24
  5. Step 5: Solve for x
    x = 59,413,302,498.24/287,541.60
  6. Step 6: Final answer
    x = 206,625.07

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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.