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Finding the Fourth Proportional to 145,058.60, 200,176.16 and 81,397.46

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Solution

The fourth proportional to 145,058.60, 200,176.16 and 81,397.46 is: 112,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,058.60 : 200,176.16 = 81,397.46 : x
  2. Step 2: Convert to fraction form
    145,058.60/200,176.16 = 81,397.46/x
  3. Step 3: Cross multiply
    145,058.60x = 200,176.16 × 81,397.46
  4. Step 4: Simplify right side
    145,058.60x = 16,293,830,976.55
  5. Step 5: Solve for x
    x = 16,293,830,976.55/145,058.60
  6. Step 6: Final answer
    x = 112,325.85

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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.