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Finding the Fourth Proportional to 189,851.60, 262,169.16 and 152,400.08

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Solution

The fourth proportional to 189,851.60, 262,169.16 and 152,400.08 is: 210,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,851.60 : 262,169.16 = 152,400.08 : x
  2. Step 2: Convert to fraction form
    189,851.60/262,169.16 = 152,400.08/x
  3. Step 3: Cross multiply
    189,851.60x = 262,169.16 × 152,400.08
  4. Step 4: Simplify right side
    189,851.60x = 39,954,600,957.53
  5. Step 5: Solve for x
    x = 39,954,600,957.53/189,851.60
  6. Step 6: Final answer
    x = 210,451.75

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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.