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Finding the Fourth Proportional to 149,359.20, 224,038.80 and 55,852.80

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Solution

The fourth proportional to 149,359.20, 224,038.80 and 55,852.80 is: 83,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,359.20 : 224,038.80 = 55,852.80 : x
  2. Step 2: Convert to fraction form
    149,359.20/224,038.80 = 55,852.80/x
  3. Step 3: Cross multiply
    149,359.20x = 224,038.80 × 55,852.80
  4. Step 4: Simplify right side
    149,359.20x = 12,513,194,288.64
  5. Step 5: Solve for x
    x = 12,513,194,288.64/149,359.20
  6. Step 6: Final answer
    x = 83,779.20

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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.