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Finding the Fourth Proportional to 153,755.94, 212,193 and 85,783.17

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Solution

The fourth proportional to 153,755.94, 212,193 and 85,783.17 is: 118,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,755.94 : 212,193 = 85,783.17 : x
  2. Step 2: Convert to fraction form
    153,755.94/212,193 = 85,783.17/x
  3. Step 3: Cross multiply
    153,755.94x = 212,193 × 85,783.17
  4. Step 4: Simplify right side
    153,755.94x = 18,202,588,191.81
  5. Step 5: Solve for x
    x = 18,202,588,191.81/153,755.94
  6. Step 6: Final answer
    x = 118,386.24

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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.