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Finding the Fourth Proportional to 191,569.54, 287,378.16 and 65,200.07

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Solution

The fourth proportional to 191,569.54, 287,378.16 and 65,200.07 is: 97,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,569.54 : 287,378.16 = 65,200.07 : x
  2. Step 2: Convert to fraction form
    191,569.54/287,378.16 = 65,200.07/x
  3. Step 3: Cross multiply
    191,569.54x = 287,378.16 × 65,200.07
  4. Step 4: Simplify right side
    191,569.54x = 18,737,077,111.42
  5. Step 5: Solve for x
    x = 18,737,077,111.42/191,569.54
  6. Step 6: Final answer
    x = 97,808.23

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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.