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Finding the Fourth Proportional to 149,506.50, 224,260.56 and 38,698.50

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Solution

The fourth proportional to 149,506.50, 224,260.56 and 38,698.50 is: 58,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,506.50 : 224,260.56 = 38,698.50 : x
  2. Step 2: Convert to fraction form
    149,506.50/224,260.56 = 38,698.50/x
  3. Step 3: Cross multiply
    149,506.50x = 224,260.56 × 38,698.50
  4. Step 4: Simplify right side
    149,506.50x = 8,678,547,281.16
  5. Step 5: Solve for x
    x = 8,678,547,281.16/149,506.50
  6. Step 6: Final answer
    x = 58,047.96

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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.