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Finding the Fourth Proportional to 153,684.11, 212,085.00 and 85,705.38

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Solution

The fourth proportional to 153,684.11, 212,085.00 and 85,705.38 is: 118,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684.11 : 212,085.00 = 85,705.38 : x
  2. Step 2: Convert to fraction form
    153,684.11/212,085.00 = 85,705.38/x
  3. Step 3: Cross multiply
    153,684.11x = 212,085.00 × 85,705.38
  4. Step 4: Simplify right side
    153,684.11x = 18,176,825,088.77
  5. Step 5: Solve for x
    x = 18,176,825,088.77/153,684.11
  6. Step 6: Final answer
    x = 118,273.94

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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.