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Finding the Fourth Proportional to 213,353.84, 294,417.42 and 117,842.06

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Solution

The fourth proportional to 213,353.84, 294,417.42 and 117,842.06 is: 162,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,353.84 : 294,417.42 = 117,842.06 : x
  2. Step 2: Convert to fraction form
    213,353.84/294,417.42 = 117,842.06/x
  3. Step 3: Cross multiply
    213,353.84x = 294,417.42 × 117,842.06
  4. Step 4: Simplify right side
    213,353.84x = 34,694,755,272.69
  5. Step 5: Solve for x
    x = 34,694,755,272.69/213,353.84
  6. Step 6: Final answer
    x = 162,616.03

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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.