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Finding the Fourth Proportional to 137,058.40, 205,490.40 and 62,214.40

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Solution

The fourth proportional to 137,058.40, 205,490.40 and 62,214.40 is: 93,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,058.40 : 205,490.40 = 62,214.40 : x
  2. Step 2: Convert to fraction form
    137,058.40/205,490.40 = 62,214.40/x
  3. Step 3: Cross multiply
    137,058.40x = 205,490.40 × 62,214.40
  4. Step 4: Simplify right side
    137,058.40x = 12,784,461,941.76
  5. Step 5: Solve for x
    x = 12,784,461,941.76/137,058.40
  6. Step 6: Final answer
    x = 93,277.48

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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.