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Finding the Fourth Proportional to 213,036.95, 293,990.77 and 117,543.63

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Solution

The fourth proportional to 213,036.95, 293,990.77 and 117,543.63 is: 162,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,036.95 : 293,990.77 = 117,543.63 : x
  2. Step 2: Convert to fraction form
    213,036.95/293,990.77 = 117,543.63/x
  3. Step 3: Cross multiply
    213,036.95x = 293,990.77 × 117,543.63
  4. Step 4: Simplify right side
    213,036.95x = 34,556,742,292.30
  5. Step 5: Solve for x
    x = 34,556,742,292.30/213,036.95
  6. Step 6: Final answer
    x = 162,210.09

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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.