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Finding the Fourth Proportional to 229,315.93, 316,445.40 and 127,347.93

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Solution

The fourth proportional to 229,315.93, 316,445.40 and 127,347.93 is: 175,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,315.93 : 316,445.40 = 127,347.93 : x
  2. Step 2: Convert to fraction form
    229,315.93/316,445.40 = 127,347.93/x
  3. Step 3: Cross multiply
    229,315.93x = 316,445.40 × 127,347.93
  4. Step 4: Simplify right side
    229,315.93x = 40,298,666,648.02
  5. Step 5: Solve for x
    x = 40,298,666,648.02/229,315.93
  6. Step 6: Final answer
    x = 175,734.27

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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.