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Finding the Fourth Proportional to 153,696.71, 212,101.04 and 85,713.76

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Solution

The fourth proportional to 153,696.71, 212,101.04 and 85,713.76 is: 118,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,696.71 : 212,101.04 = 85,713.76 : x
  2. Step 2: Convert to fraction form
    153,696.71/212,101.04 = 85,713.76/x
  3. Step 3: Cross multiply
    153,696.71x = 212,101.04 × 85,713.76
  4. Step 4: Simplify right side
    153,696.71x = 18,179,977,322.34
  5. Step 5: Solve for x
    x = 18,179,977,322.34/153,696.71
  6. Step 6: Final answer
    x = 118,284.75

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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.