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Finding the Fourth Proportional to 153,142.02, 211,341.13 and 84,234.40

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Solution

The fourth proportional to 153,142.02, 211,341.13 and 84,234.40 is: 116,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,142.02 : 211,341.13 = 84,234.40 : x
  2. Step 2: Convert to fraction form
    153,142.02/211,341.13 = 84,234.40/x
  3. Step 3: Cross multiply
    153,142.02x = 211,341.13 × 84,234.40
  4. Step 4: Simplify right side
    153,142.02x = 17,802,193,280.87
  5. Step 5: Solve for x
    x = 17,802,193,280.87/153,142.02
  6. Step 6: Final answer
    x = 116,246.30

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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.