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Finding the Fourth Proportional to 170,102.16, 255,210.60 and 75,319.40

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Solution

The fourth proportional to 170,102.16, 255,210.60 and 75,319.40 is: 113,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,102.16 : 255,210.60 = 75,319.40 : x
  2. Step 2: Convert to fraction form
    170,102.16/255,210.60 = 75,319.40/x
  3. Step 3: Cross multiply
    170,102.16x = 255,210.60 × 75,319.40
  4. Step 4: Simplify right side
    170,102.16x = 19,222,310,186.11
  5. Step 5: Solve for x
    x = 19,222,310,186.11/170,102.16
  6. Step 6: Final answer
    x = 113,004.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.