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Finding the Fourth Proportional to 377,492.94, 566,166.32 and 146,681.54

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Solution

The fourth proportional to 377,492.94, 566,166.32 and 146,681.54 is: 219,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,492.94 : 566,166.32 = 146,681.54 : x
  2. Step 2: Convert to fraction form
    377,492.94/566,166.32 = 146,681.54/x
  3. Step 3: Cross multiply
    377,492.94x = 566,166.32 × 146,681.54
  4. Step 4: Simplify right side
    377,492.94x = 83,046,144,149.49
  5. Step 5: Solve for x
    x = 83,046,144,149.49/377,492.94
  6. Step 6: Final answer
    x = 219,993.90

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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.