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Finding the Fourth Proportional to 189,533.56, 284,283.86 and 77,225.62

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Solution

The fourth proportional to 189,533.56, 284,283.86 and 77,225.62 is: 115,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,533.56 : 284,283.86 = 77,225.62 : x
  2. Step 2: Convert to fraction form
    189,533.56/284,283.86 = 77,225.62/x
  3. Step 3: Cross multiply
    189,533.56x = 284,283.86 × 77,225.62
  4. Step 4: Simplify right side
    189,533.56x = 21,953,997,344.49
  5. Step 5: Solve for x
    x = 21,953,997,344.49/189,533.56
  6. Step 6: Final answer
    x = 115,831.72

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1.5x scale

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.