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Finding the Fourth Proportional to 212,798.69, 293,662.10 and 117,306.98

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Solution

The fourth proportional to 212,798.69, 293,662.10 and 117,306.98 is: 161,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,798.69 : 293,662.10 = 117,306.98 : x
  2. Step 2: Convert to fraction form
    212,798.69/293,662.10 = 117,306.98/x
  3. Step 3: Cross multiply
    212,798.69x = 293,662.10 × 117,306.98
  4. Step 4: Simplify right side
    212,798.69x = 34,448,612,036.61
  5. Step 5: Solve for x
    x = 34,448,612,036.61/212,798.69
  6. Step 6: Final answer
    x = 161,883.58

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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.