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Finding the Fourth Proportional to 153,881.63, 230,835.66 and 54,033.24

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Solution

The fourth proportional to 153,881.63, 230,835.66 and 54,033.24 is: 81,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,881.63 : 230,835.66 = 54,033.24 : x
  2. Step 2: Convert to fraction form
    153,881.63/230,835.66 = 54,033.24/x
  3. Step 3: Cross multiply
    153,881.63x = 230,835.66 × 54,033.24
  4. Step 4: Simplify right side
    153,881.63x = 12,472,798,617.34
  5. Step 5: Solve for x
    x = 12,472,798,617.34/153,881.63
  6. Step 6: Final answer
    x = 81,054.50

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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.