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Finding the Fourth Proportional to 212,999.47, 293,939.24 and 117,506.16

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Solution

The fourth proportional to 212,999.47, 293,939.24 and 117,506.16 is: 162,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,999.47 : 293,939.24 = 117,506.16 : x
  2. Step 2: Convert to fraction form
    212,999.47/293,939.24 = 117,506.16/x
  3. Step 3: Cross multiply
    212,999.47x = 293,939.24 × 117,506.16
  4. Step 4: Simplify right side
    212,999.47x = 34,539,671,365.72
  5. Step 5: Solve for x
    x = 34,539,671,365.72/212,999.47
  6. Step 6: Final answer
    x = 162,158.49

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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.