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Finding the Fourth Proportional to 186,376, 279,566.16 and 46,135.84

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Solution

The fourth proportional to 186,376, 279,566.16 and 46,135.84 is: 69,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,376 : 279,566.16 = 46,135.84 : x
  2. Step 2: Convert to fraction form
    186,376/279,566.16 = 46,135.84/x
  3. Step 3: Cross multiply
    186,376x = 279,566.16 × 46,135.84
  4. Step 4: Simplify right side
    186,376x = 12,898,019,627.17
  5. Step 5: Solve for x
    x = 12,898,019,627.17/186,376
  6. Step 6: Final answer
    x = 69,204.29

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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.