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Finding the Fourth Proportional to 191,762.80, 264,574.02 and 111,174.24

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Solution

The fourth proportional to 191,762.80, 264,574.02 and 111,174.24 is: 153,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,762.80 : 264,574.02 = 111,174.24 : x
  2. Step 2: Convert to fraction form
    191,762.80/264,574.02 = 111,174.24/x
  3. Step 3: Cross multiply
    191,762.80x = 264,574.02 × 111,174.24
  4. Step 4: Simplify right side
    191,762.80x = 29,413,815,180.34
  5. Step 5: Solve for x
    x = 29,413,815,180.34/191,762.80
  6. Step 6: Final answer
    x = 153,386.45

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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.