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Finding the Fourth Proportional to 153,682.08, 229,321.16 and 121,730.08

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Solution

The fourth proportional to 153,682.08, 229,321.16 and 121,730.08 is: 181,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,682.08 : 229,321.16 = 121,730.08 : x
  2. Step 2: Convert to fraction form
    153,682.08/229,321.16 = 121,730.08/x
  3. Step 3: Cross multiply
    153,682.08x = 229,321.16 × 121,730.08
  4. Step 4: Simplify right side
    153,682.08x = 27,915,283,152.49
  5. Step 5: Solve for x
    x = 27,915,283,152.49/153,682.08
  6. Step 6: Final answer
    x = 181,643.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.