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Finding the Fourth Proportional to 255,482.15, 383,223.22 and 97,758.95

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Solution

The fourth proportional to 255,482.15, 383,223.22 and 97,758.95 is: 146,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,482.15 : 383,223.22 = 97,758.95 : x
  2. Step 2: Convert to fraction form
    255,482.15/383,223.22 = 97,758.95/x
  3. Step 3: Cross multiply
    255,482.15x = 383,223.22 × 97,758.95
  4. Step 4: Simplify right side
    255,482.15x = 37,463,497,442.31
  5. Step 5: Solve for x
    x = 37,463,497,442.31/255,482.15
  6. Step 6: Final answer
    x = 146,638.42

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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.