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Finding the Fourth Proportional to 295,106.14, 407,180.36 and 174,182.58

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Solution

The fourth proportional to 295,106.14, 407,180.36 and 174,182.58 is: 240,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,106.14 : 407,180.36 = 174,182.58 : x
  2. Step 2: Convert to fraction form
    295,106.14/407,180.36 = 174,182.58/x
  3. Step 3: Cross multiply
    295,106.14x = 407,180.36 × 174,182.58
  4. Step 4: Simplify right side
    295,106.14x = 70,923,725,630.13
  5. Step 5: Solve for x
    x = 70,923,725,630.13/295,106.14
  6. Step 6: Final answer
    x = 240,332.94

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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.