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Finding the Fourth Proportional to 212,098.56, 292,696.16 and 116,606.88

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Solution

The fourth proportional to 212,098.56, 292,696.16 and 116,606.88 is: 160,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,098.56 : 292,696.16 = 116,606.88 : x
  2. Step 2: Convert to fraction form
    212,098.56/292,696.16 = 116,606.88/x
  3. Step 3: Cross multiply
    212,098.56x = 292,696.16 × 116,606.88
  4. Step 4: Simplify right side
    212,098.56x = 34,130,386,005.58
  5. Step 5: Solve for x
    x = 34,130,386,005.58/212,098.56
  6. Step 6: Final answer
    x = 160,917.58

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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.