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Finding the Fourth Proportional to 541,102.19, 811,763.98 and 186,070.10

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Solution

The fourth proportional to 541,102.19, 811,763.98 and 186,070.10 is: 279,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,102.19 : 811,763.98 = 186,070.10 : x
  2. Step 2: Convert to fraction form
    541,102.19/811,763.98 = 186,070.10/x
  3. Step 3: Cross multiply
    541,102.19x = 811,763.98 × 186,070.10
  4. Step 4: Simplify right side
    541,102.19x = 151,045,000,411.00
  5. Step 5: Solve for x
    x = 151,045,000,411.00/541,102.19
  6. Step 6: Final answer
    x = 279,143.21

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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.