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Finding the Fourth Proportional to 243,127.94, 364,663.19 and 65,648.79

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Solution

The fourth proportional to 243,127.94, 364,663.19 and 65,648.79 is: 98,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,127.94 : 364,663.19 = 65,648.79 : x
  2. Step 2: Convert to fraction form
    243,127.94/364,663.19 = 65,648.79/x
  3. Step 3: Cross multiply
    243,127.94x = 364,663.19 × 65,648.79
  4. Step 4: Simplify right side
    243,127.94x = 23,939,697,345.16
  5. Step 5: Solve for x
    x = 23,939,697,345.16/243,127.94
  6. Step 6: Final answer
    x = 98,465.43

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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.