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Finding the Fourth Proportional to 265,655.34, 366,602.00 and 144,796.64

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Solution

The fourth proportional to 265,655.34, 366,602.00 and 144,796.64 is: 199,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,655.34 : 366,602.00 = 144,796.64 : x
  2. Step 2: Convert to fraction form
    265,655.34/366,602.00 = 144,796.64/x
  3. Step 3: Cross multiply
    265,655.34x = 366,602.00 × 144,796.64
  4. Step 4: Simplify right side
    265,655.34x = 53,082,735,260.29
  5. Step 5: Solve for x
    x = 53,082,735,260.29/265,655.34
  6. Step 6: Final answer
    x = 199,818.06

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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.