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Finding the Fourth Proportional to 97,893.36, 147,498.12 and 88,543.80

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Solution

The fourth proportional to 97,893.36, 147,498.12 and 88,543.80 is: 133,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,893.36 : 147,498.12 = 88,543.80 : x
  2. Step 2: Convert to fraction form
    97,893.36/147,498.12 = 88,543.80/x
  3. Step 3: Cross multiply
    97,893.36x = 147,498.12 × 88,543.80
  4. Step 4: Simplify right side
    97,893.36x = 13,060,044,037.66
  5. Step 5: Solve for x
    x = 13,060,044,037.66/97,893.36
  6. Step 6: Final answer
    x = 133,410.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.