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Finding the Fourth Proportional to 189,432.16, 261,406.16 and 117,810.16

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Solution

The fourth proportional to 189,432.16, 261,406.16 and 117,810.16 is: 162,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432.16 : 261,406.16 = 117,810.16 : x
  2. Step 2: Convert to fraction form
    189,432.16/261,406.16 = 117,810.16/x
  3. Step 3: Cross multiply
    189,432.16x = 261,406.16 × 117,810.16
  4. Step 4: Simplify right side
    189,432.16x = 30,796,301,534.59
  5. Step 5: Solve for x
    x = 30,796,301,534.59/189,432.16
  6. Step 6: Final answer
    x = 162,571.66

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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.