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Finding the Fourth Proportional to 186,071.83, 256,773.12 and 105,506.53

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Solution

The fourth proportional to 186,071.83, 256,773.12 and 105,506.53 is: 145,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,071.83 : 256,773.12 = 105,506.53 : x
  2. Step 2: Convert to fraction form
    186,071.83/256,773.12 = 105,506.53/x
  3. Step 3: Cross multiply
    186,071.83x = 256,773.12 × 105,506.53
  4. Step 4: Simplify right side
    186,071.83x = 27,091,239,850.89
  5. Step 5: Solve for x
    x = 27,091,239,850.89/186,071.83
  6. Step 6: Final answer
    x = 145,595.60

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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.