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Finding the Fourth Proportional to 213,078.09, 319,582.25 and 86,713.23

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Solution

The fourth proportional to 213,078.09, 319,582.25 and 86,713.23 is: 130,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,078.09 : 319,582.25 = 86,713.23 : x
  2. Step 2: Convert to fraction form
    213,078.09/319,582.25 = 86,713.23/x
  3. Step 3: Cross multiply
    213,078.09x = 319,582.25 × 86,713.23
  4. Step 4: Simplify right side
    213,078.09x = 27,712,009,148.17
  5. Step 5: Solve for x
    x = 27,712,009,148.17/213,078.09
  6. Step 6: Final answer
    x = 130,055.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.