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Finding the Fourth Proportional to 223,009.47, 307,677.69 and 127,448.10

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Solution

The fourth proportional to 223,009.47, 307,677.69 and 127,448.10 is: 175,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,009.47 : 307,677.69 = 127,448.10 : x
  2. Step 2: Convert to fraction form
    223,009.47/307,677.69 = 127,448.10/x
  3. Step 3: Cross multiply
    223,009.47x = 307,677.69 × 127,448.10
  4. Step 4: Simplify right side
    223,009.47x = 39,212,937,002.89
  5. Step 5: Solve for x
    x = 39,212,937,002.89/223,009.47
  6. Step 6: Final answer
    x = 175,835.30

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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.