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Finding the Fourth Proportional to 255,501.40, 383,252.10 and 97,648.60

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Solution

The fourth proportional to 255,501.40, 383,252.10 and 97,648.60 is: 146,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,501.40 : 383,252.10 = 97,648.60 : x
  2. Step 2: Convert to fraction form
    255,501.40/383,252.10 = 97,648.60/x
  3. Step 3: Cross multiply
    255,501.40x = 383,252.10 × 97,648.60
  4. Step 4: Simplify right side
    255,501.40x = 37,424,031,012.06
  5. Step 5: Solve for x
    x = 37,424,031,012.06/255,501.40
  6. Step 6: Final answer
    x = 146,472.90

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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.