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Finding the Fourth Proportional to 186,339.42, 257,148.99 and 101,457

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Solution

The fourth proportional to 186,339.42, 257,148.99 and 101,457 is: 140,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,339.42 : 257,148.99 = 101,457 : x
  2. Step 2: Convert to fraction form
    186,339.42/257,148.99 = 101,457/x
  3. Step 3: Cross multiply
    186,339.42x = 257,148.99 × 101,457
  4. Step 4: Simplify right side
    186,339.42x = 26,089,565,078.43
  5. Step 5: Solve for x
    x = 26,089,565,078.43/186,339.42
  6. Step 6: Final answer
    x = 140,010.98

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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.