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Finding the Fourth Proportional to 500,112.50, 750,168.75 and 149,904.50

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Solution

The fourth proportional to 500,112.50, 750,168.75 and 149,904.50 is: 224,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,112.50 : 750,168.75 = 149,904.50 : x
  2. Step 2: Convert to fraction form
    500,112.50/750,168.75 = 149,904.50/x
  3. Step 3: Cross multiply
    500,112.50x = 750,168.75 × 149,904.50
  4. Step 4: Simplify right side
    500,112.50x = 112,453,671,384.38
  5. Step 5: Solve for x
    x = 112,453,671,384.38/500,112.50
  6. Step 6: Final answer
    x = 224,856.75

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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.