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Finding the Fourth Proportional to 213,019.90, 293,968.42 and 117,529.40

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Solution

The fourth proportional to 213,019.90, 293,968.42 and 117,529.40 is: 162,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,019.90 : 293,968.42 = 117,529.40 : x
  2. Step 2: Convert to fraction form
    213,019.90/293,968.42 = 117,529.40/x
  3. Step 3: Cross multiply
    213,019.90x = 293,968.42 × 117,529.40
  4. Step 4: Simplify right side
    213,019.90x = 34,549,932,462.65
  5. Step 5: Solve for x
    x = 34,549,932,462.65/213,019.90
  6. Step 6: Final answer
    x = 162,191.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.