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Finding the Fourth Proportional to 174,113, 240,275.94 and 103,457

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Solution

The fourth proportional to 174,113, 240,275.94 and 103,457 is: 142,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,113 : 240,275.94 = 103,457 : x
  2. Step 2: Convert to fraction form
    174,113/240,275.94 = 103,457/x
  3. Step 3: Cross multiply
    174,113x = 240,275.94 × 103,457
  4. Step 4: Simplify right side
    174,113x = 24,858,227,924.58
  5. Step 5: Solve for x
    x = 24,858,227,924.58/174,113
  6. Step 6: Final answer
    x = 142,770.66

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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.