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Finding the Fourth Proportional to 153,366, 230,085.92 and 48,184.93

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Solution

The fourth proportional to 153,366, 230,085.92 and 48,184.93 is: 72,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,366 : 230,085.92 = 48,184.93 : x
  2. Step 2: Convert to fraction form
    153,366/230,085.92 = 48,184.93/x
  3. Step 3: Cross multiply
    153,366x = 230,085.92 × 48,184.93
  4. Step 4: Simplify right side
    153,366x = 11,086,673,949.19
  5. Step 5: Solve for x
    x = 11,086,673,949.19/153,366
  6. Step 6: Final answer
    x = 72,288.99

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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.