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Finding the Fourth Proportional to 243,148.74, 364,741.55 and 65,653.17

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Solution

The fourth proportional to 243,148.74, 364,741.55 and 65,653.17 is: 98,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,148.74 : 364,741.55 = 65,653.17 : x
  2. Step 2: Convert to fraction form
    243,148.74/364,741.55 = 65,653.17/x
  3. Step 3: Cross multiply
    243,148.74x = 364,741.55 × 65,653.17
  4. Step 4: Simplify right side
    243,148.74x = 23,946,437,538.37
  5. Step 5: Solve for x
    x = 23,946,437,538.37/243,148.74
  6. Step 6: Final answer
    x = 98,484.73

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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.