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Finding the Fourth Proportional to 97,798.60, 146,643.22 and 45,142.93

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Solution

The fourth proportional to 97,798.60, 146,643.22 and 45,142.93 is: 67,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,798.60 : 146,643.22 = 45,142.93 : x
  2. Step 2: Convert to fraction form
    97,798.60/146,643.22 = 45,142.93/x
  3. Step 3: Cross multiply
    97,798.60x = 146,643.22 × 45,142.93
  4. Step 4: Simplify right side
    97,798.60x = 6,619,904,615.43
  5. Step 5: Solve for x
    x = 6,619,904,615.43/97,798.60
  6. Step 6: Final answer
    x = 67,689.16

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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.