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Finding the Fourth Proportional to 255,122.70, 382,829.85 and 97,464.30

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Solution

The fourth proportional to 255,122.70, 382,829.85 and 97,464.30 is: 146,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,122.70 : 382,829.85 = 97,464.30 : x
  2. Step 2: Convert to fraction form
    255,122.70/382,829.85 = 97,464.30/x
  3. Step 3: Cross multiply
    255,122.70x = 382,829.85 × 97,464.30
  4. Step 4: Simplify right side
    255,122.70x = 37,312,243,349.36
  5. Step 5: Solve for x
    x = 37,312,243,349.36/255,122.70
  6. Step 6: Final answer
    x = 146,252.15

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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.