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Finding the Fourth Proportional to 229,166.07, 316,307.31 and 156,598.34

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Solution

The fourth proportional to 229,166.07, 316,307.31 and 156,598.34 is: 216,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,166.07 : 316,307.31 = 156,598.34 : x
  2. Step 2: Convert to fraction form
    229,166.07/316,307.31 = 156,598.34/x
  3. Step 3: Cross multiply
    229,166.07x = 316,307.31 × 156,598.34
  4. Step 4: Simplify right side
    229,166.07x = 49,533,198,094.33
  5. Step 5: Solve for x
    x = 49,533,198,094.33/229,166.07
  6. Step 6: Final answer
    x = 216,145.43

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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.