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Finding the Fourth Proportional to 181,143, 271,451.88 and 102,088.98

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Solution

The fourth proportional to 181,143, 271,451.88 and 102,088.98 is: 152,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,143 : 271,451.88 = 102,088.98 : x
  2. Step 2: Convert to fraction form
    181,143/271,451.88 = 102,088.98/x
  3. Step 3: Cross multiply
    181,143x = 271,451.88 × 102,088.98
  4. Step 4: Simplify right side
    181,143x = 27,712,245,548.28
  5. Step 5: Solve for x
    x = 27,712,245,548.28/181,143
  6. Step 6: Final answer
    x = 152,985.46

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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.