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Finding the Fourth Proportional to 170,219, 255,445.16 and 59,411

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Solution

The fourth proportional to 170,219, 255,445.16 and 59,411 is: 89,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,219 : 255,445.16 = 59,411 : x
  2. Step 2: Convert to fraction form
    170,219/255,445.16 = 59,411/x
  3. Step 3: Cross multiply
    170,219x = 255,445.16 × 59,411
  4. Step 4: Simplify right side
    170,219x = 15,176,252,400.76
  5. Step 5: Solve for x
    x = 15,176,252,400.76/170,219
  6. Step 6: Final answer
    x = 89,157.22

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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.