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Finding the Fourth Proportional to 169,547.58, 233,978.31 and 97,942.14

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Solution

The fourth proportional to 169,547.58, 233,978.31 and 97,942.14 is: 135,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,547.58 : 233,978.31 = 97,942.14 : x
  2. Step 2: Convert to fraction form
    169,547.58/233,978.31 = 97,942.14/x
  3. Step 3: Cross multiply
    169,547.58x = 233,978.31 × 97,942.14
  4. Step 4: Simplify right side
    169,547.58x = 22,916,336,394.98
  5. Step 5: Solve for x
    x = 22,916,336,394.98/169,547.58
  6. Step 6: Final answer
    x = 135,161.68

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1.5x scale

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.