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Finding the Fourth Proportional to 110,426.62, 165,430.95 and 65,312.86

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Solution

The fourth proportional to 110,426.62, 165,430.95 and 65,312.86 is: 97,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,426.62 : 165,430.95 = 65,312.86 : x
  2. Step 2: Convert to fraction form
    110,426.62/165,430.95 = 65,312.86/x
  3. Step 3: Cross multiply
    110,426.62x = 165,430.95 × 65,312.86
  4. Step 4: Simplify right side
    110,426.62x = 10,804,768,477.02
  5. Step 5: Solve for x
    x = 10,804,768,477.02/110,426.62
  6. Step 6: Final answer
    x = 97,845.69

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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.