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Finding the Fourth Proportional to 296,740.64, 445,138.36 and 97,062.16

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Solution

The fourth proportional to 296,740.64, 445,138.36 and 97,062.16 is: 145,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,740.64 : 445,138.36 = 97,062.16 : x
  2. Step 2: Convert to fraction form
    296,740.64/445,138.36 = 97,062.16/x
  3. Step 3: Cross multiply
    296,740.64x = 445,138.36 × 97,062.16
  4. Step 4: Simplify right side
    296,740.64x = 43,206,090,720.46
  5. Step 5: Solve for x
    x = 43,206,090,720.46/296,740.64
  6. Step 6: Final answer
    x = 145,602.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.