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Finding the Fourth Proportional to 191,848.34, 287,798.76 and 65,454.64

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Solution

The fourth proportional to 191,848.34, 287,798.76 and 65,454.64 is: 98,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,848.34 : 287,798.76 = 65,454.64 : x
  2. Step 2: Convert to fraction form
    191,848.34/287,798.76 = 65,454.64/x
  3. Step 3: Cross multiply
    191,848.34x = 287,798.76 × 65,454.64
  4. Step 4: Simplify right side
    191,848.34x = 18,837,764,228.25
  5. Step 5: Solve for x
    x = 18,837,764,228.25/191,848.34
  6. Step 6: Final answer
    x = 98,190.92

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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.