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Finding the Fourth Proportional to 213,214.80, 294,235.08 and 117,720.66

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Solution

The fourth proportional to 213,214.80, 294,235.08 and 117,720.66 is: 162,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,214.80 : 294,235.08 = 117,720.66 : x
  2. Step 2: Convert to fraction form
    213,214.80/294,235.08 = 117,720.66/x
  3. Step 3: Cross multiply
    213,214.80x = 294,235.08 × 117,720.66
  4. Step 4: Simplify right side
    213,214.80x = 34,637,547,812.75
  5. Step 5: Solve for x
    x = 34,637,547,812.75/213,214.80
  6. Step 6: Final answer
    x = 162,453.77

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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.