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Finding the Fourth Proportional to 213,023.90, 293,959.32 and 117,530.58

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Solution

The fourth proportional to 213,023.90, 293,959.32 and 117,530.58 is: 162,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,023.90 : 293,959.32 = 117,530.58 : x
  2. Step 2: Convert to fraction form
    213,023.90/293,959.32 = 117,530.58/x
  3. Step 3: Cross multiply
    213,023.90x = 293,959.32 × 117,530.58
  4. Step 4: Simplify right side
    213,023.90x = 34,549,209,376.01
  5. Step 5: Solve for x
    x = 34,549,209,376.01/213,023.90
  6. Step 6: Final answer
    x = 162,184.66

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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.