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Finding the Fourth Proportional to 186,210.96, 256,968.62 and 101,327.82

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Solution

The fourth proportional to 186,210.96, 256,968.62 and 101,327.82 is: 139,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,210.96 : 256,968.62 = 101,327.82 : x
  2. Step 2: Convert to fraction form
    186,210.96/256,968.62 = 101,327.82/x
  3. Step 3: Cross multiply
    186,210.96x = 256,968.62 × 101,327.82
  4. Step 4: Simplify right side
    186,210.96x = 26,038,070,073.01
  5. Step 5: Solve for x
    x = 26,038,070,073.01/186,210.96
  6. Step 6: Final answer
    x = 139,831.03

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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.