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Finding the Fourth Proportional to 229,030, 316,062.20 and 127,057.48

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Solution

The fourth proportional to 229,030, 316,062.20 and 127,057.48 is: 175,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,030 : 316,062.20 = 127,057.48 : x
  2. Step 2: Convert to fraction form
    229,030/316,062.20 = 127,057.48/x
  3. Step 3: Cross multiply
    229,030x = 316,062.20 × 127,057.48
  4. Step 4: Simplify right side
    229,030x = 40,158,066,655.26
  5. Step 5: Solve for x
    x = 40,158,066,655.26/229,030
  6. Step 6: Final answer
    x = 175,339.77

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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.