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Finding the Fourth Proportional to 191,381.77, 264,153.72 and 148,276

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Solution

The fourth proportional to 191,381.77, 264,153.72 and 148,276 is: 204,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,381.77 : 264,153.72 = 148,276 : x
  2. Step 2: Convert to fraction form
    191,381.77/264,153.72 = 148,276/x
  3. Step 3: Cross multiply
    191,381.77x = 264,153.72 × 148,276
  4. Step 4: Simplify right side
    191,381.77x = 39,167,656,245.34
  5. Step 5: Solve for x
    x = 39,167,656,245.34/191,381.77
  6. Step 6: Final answer
    x = 204,657.20

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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.