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Finding the Fourth Proportional to 186,461.98, 257,308.58 and 105,878.86

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Solution

The fourth proportional to 186,461.98, 257,308.58 and 105,878.86 is: 146,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,461.98 : 257,308.58 = 105,878.86 : x
  2. Step 2: Convert to fraction form
    186,461.98/257,308.58 = 105,878.86/x
  3. Step 3: Cross multiply
    186,461.98x = 257,308.58 × 105,878.86
  4. Step 4: Simplify right side
    186,461.98x = 27,243,539,118.62
  5. Step 5: Solve for x
    x = 27,243,539,118.62/186,461.98
  6. Step 6: Final answer
    x = 146,107.74

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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.