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Finding the Fourth Proportional to 191,695.95, 264,541.50 and 111,171.24

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Solution

The fourth proportional to 191,695.95, 264,541.50 and 111,171.24 is: 153,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,695.95 : 264,541.50 = 111,171.24 : x
  2. Step 2: Convert to fraction form
    191,695.95/264,541.50 = 111,171.24/x
  3. Step 3: Cross multiply
    191,695.95x = 264,541.50 × 111,171.24
  4. Step 4: Simplify right side
    191,695.95x = 29,409,406,586.46
  5. Step 5: Solve for x
    x = 29,409,406,586.46/191,695.95
  6. Step 6: Final answer
    x = 153,416.94

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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.