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Finding the Fourth Proportional to 243,026.10, 364,538.16 and 65,551.08

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Solution

The fourth proportional to 243,026.10, 364,538.16 and 65,551.08 is: 98,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,026.10 : 364,538.16 = 65,551.08 : x
  2. Step 2: Convert to fraction form
    243,026.10/364,538.16 = 65,551.08/x
  3. Step 3: Cross multiply
    243,026.10x = 364,538.16 × 65,551.08
  4. Step 4: Simplify right side
    243,026.10x = 23,895,870,089.21
  5. Step 5: Solve for x
    x = 23,895,870,089.21/243,026.10
  6. Step 6: Final answer
    x = 98,326.35

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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.