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Finding the Fourth Proportional to 186,266.84, 257,048.18 and 101,384.50

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Solution

The fourth proportional to 186,266.84, 257,048.18 and 101,384.50 is: 139,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,266.84 : 257,048.18 = 101,384.50 : x
  2. Step 2: Convert to fraction form
    186,266.84/257,048.18 = 101,384.50/x
  3. Step 3: Cross multiply
    186,266.84x = 257,048.18 × 101,384.50
  4. Step 4: Simplify right side
    186,266.84x = 26,060,701,205.21
  5. Step 5: Solve for x
    x = 26,060,701,205.21/186,266.84
  6. Step 6: Final answer
    x = 139,910.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.