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Finding the Fourth Proportional to 186,308, 257,105.04 and 101,420

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Solution

The fourth proportional to 186,308, 257,105.04 and 101,420 is: 139,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,308 : 257,105.04 = 101,420 : x
  2. Step 2: Convert to fraction form
    186,308/257,105.04 = 101,420/x
  3. Step 3: Cross multiply
    186,308x = 257,105.04 × 101,420
  4. Step 4: Simplify right side
    186,308x = 26,075,593,156.80
  5. Step 5: Solve for x
    x = 26,075,593,156.80/186,308
  6. Step 6: Final answer
    x = 139,959.60

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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.