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Finding the Fourth Proportional to 145,184.40, 200,348.28 and 84,758.40

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Solution

The fourth proportional to 145,184.40, 200,348.28 and 84,758.40 is: 116,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,184.40 : 200,348.28 = 84,758.40 : x
  2. Step 2: Convert to fraction form
    145,184.40/200,348.28 = 84,758.40/x
  3. Step 3: Cross multiply
    145,184.40x = 200,348.28 × 84,758.40
  4. Step 4: Simplify right side
    145,184.40x = 16,981,199,655.55
  5. Step 5: Solve for x
    x = 16,981,199,655.55/145,184.40
  6. Step 6: Final answer
    x = 116,962.98

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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.