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Finding the Fourth Proportional to 191,375.84, 264,095.16 and 106,492.16

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Solution

The fourth proportional to 191,375.84, 264,095.16 and 106,492.16 is: 146,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,375.84 : 264,095.16 = 106,492.16 : x
  2. Step 2: Convert to fraction form
    191,375.84/264,095.16 = 106,492.16/x
  3. Step 3: Cross multiply
    191,375.84x = 264,095.16 × 106,492.16
  4. Step 4: Simplify right side
    191,375.84x = 28,124,064,033.95
  5. Step 5: Solve for x
    x = 28,124,064,033.95/191,375.84
  6. Step 6: Final answer
    x = 146,957.23

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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.