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Finding the Fourth Proportional to 186,192, 256,942.80 and 101,307.60

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Solution

The fourth proportional to 186,192, 256,942.80 and 101,307.60 is: 139,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,192 : 256,942.80 = 101,307.60 : x
  2. Step 2: Convert to fraction form
    186,192/256,942.80 = 101,307.60/x
  3. Step 3: Cross multiply
    186,192x = 256,942.80 × 101,307.60
  4. Step 4: Simplify right side
    186,192x = 26,030,258,405.28
  5. Step 5: Solve for x
    x = 26,030,258,405.28/186,192
  6. Step 6: Final answer
    x = 139,803.31

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