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Finding the Fourth Proportional to 209,641.52, 314,403.96 and 69,411.08

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Solution

The fourth proportional to 209,641.52, 314,403.96 and 69,411.08 is: 104,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,641.52 : 314,403.96 = 69,411.08 : x
  2. Step 2: Convert to fraction form
    209,641.52/314,403.96 = 69,411.08/x
  3. Step 3: Cross multiply
    209,641.52x = 314,403.96 × 69,411.08
  4. Step 4: Simplify right side
    209,641.52x = 21,823,118,419.88
  5. Step 5: Solve for x
    x = 21,823,118,419.88/209,641.52
  6. Step 6: Final answer
    x = 104,097.31

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Why These Related Problems?

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