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Finding the Fourth Proportional to 191,409.16, 264,153.30 and 110,840.20

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Solution

The fourth proportional to 191,409.16, 264,153.30 and 110,840.20 is: 152,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,409.16 : 264,153.30 = 110,840.20 : x
  2. Step 2: Convert to fraction form
    191,409.16/264,153.30 = 110,840.20/x
  3. Step 3: Cross multiply
    191,409.16x = 264,153.30 × 110,840.20
  4. Step 4: Simplify right side
    191,409.16x = 29,278,804,602.66
  5. Step 5: Solve for x
    x = 29,278,804,602.66/191,409.16
  6. Step 6: Final answer
    x = 152,964.49

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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.