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Finding the Fourth Proportional to 186,099, 256,707.18 and 110,643

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Solution

The fourth proportional to 186,099, 256,707.18 and 110,643 is: 152,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,099 : 256,707.18 = 110,643 : x
  2. Step 2: Convert to fraction form
    186,099/256,707.18 = 110,643/x
  3. Step 3: Cross multiply
    186,099x = 256,707.18 × 110,643
  4. Step 4: Simplify right side
    186,099x = 28,402,852,516.74
  5. Step 5: Solve for x
    x = 28,402,852,516.74/186,099
  6. Step 6: Final answer
    x = 152,622.27

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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.