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Finding the Fourth Proportional to 186,381, 257,230.08 and 110,929.50

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Solution

The fourth proportional to 186,381, 257,230.08 and 110,929.50 is: 153,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,381 : 257,230.08 = 110,929.50 : x
  2. Step 2: Convert to fraction form
    186,381/257,230.08 = 110,929.50/x
  3. Step 3: Cross multiply
    186,381x = 257,230.08 × 110,929.50
  4. Step 4: Simplify right side
    186,381x = 28,534,404,159.36
  5. Step 5: Solve for x
    x = 28,534,404,159.36/186,381
  6. Step 6: Final answer
    x = 153,097.17

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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.