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Finding the Fourth Proportional to 229,283.02, 316,395.14 and 127,303.21

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Solution

The fourth proportional to 229,283.02, 316,395.14 and 127,303.21 is: 175,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,283.02 : 316,395.14 = 127,303.21 : x
  2. Step 2: Convert to fraction form
    229,283.02/316,395.14 = 127,303.21/x
  3. Step 3: Cross multiply
    229,283.02x = 316,395.14 × 127,303.21
  4. Step 4: Simplify right side
    229,283.02x = 40,278,116,000.28
  5. Step 5: Solve for x
    x = 40,278,116,000.28/229,283.02
  6. Step 6: Final answer
    x = 175,669.86

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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.