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Finding the Fourth Proportional to 274,716, 379,089.68 and 152,200.14

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Solution

The fourth proportional to 274,716, 379,089.68 and 152,200.14 is: 210,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,716 : 379,089.68 = 152,200.14 : x
  2. Step 2: Convert to fraction form
    274,716/379,089.68 = 152,200.14/x
  3. Step 3: Cross multiply
    274,716x = 379,089.68 × 152,200.14
  4. Step 4: Simplify right side
    274,716x = 57,697,502,368.56
  5. Step 5: Solve for x
    x = 57,697,502,368.56/274,716
  6. Step 6: Final answer
    x = 210,026.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.