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Finding the Fourth Proportional to 212,102.84, 292,702.68 and 116,615.59

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Solution

The fourth proportional to 212,102.84, 292,702.68 and 116,615.59 is: 160,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.84 : 292,702.68 = 116,615.59 : x
  2. Step 2: Convert to fraction form
    212,102.84/292,702.68 = 116,615.59/x
  3. Step 3: Cross multiply
    212,102.84x = 292,702.68 × 116,615.59
  4. Step 4: Simplify right side
    212,102.84x = 34,133,694,991.02
  5. Step 5: Solve for x
    x = 34,133,694,991.02/212,102.84
  6. Step 6: Final answer
    x = 160,929.93

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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.