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Finding the Fourth Proportional to 229,323.15, 316,459.91 and 127,345.37

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Solution

The fourth proportional to 229,323.15, 316,459.91 and 127,345.37 is: 175,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,323.15 : 316,459.91 = 127,345.37 : x
  2. Step 2: Convert to fraction form
    229,323.15/316,459.91 = 127,345.37/x
  3. Step 3: Cross multiply
    229,323.15x = 316,459.91 × 127,345.37
  4. Step 4: Simplify right side
    229,323.15x = 40,299,703,065.18
  5. Step 5: Solve for x
    x = 40,299,703,065.18/229,323.15
  6. Step 6: Final answer
    x = 175,733.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.