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Finding the Fourth Proportional to 315,094.06, 434,829.76 and 171,854.11

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Solution

The fourth proportional to 315,094.06, 434,829.76 and 171,854.11 is: 237,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,094.06 : 434,829.76 = 171,854.11 : x
  2. Step 2: Convert to fraction form
    315,094.06/434,829.76 = 171,854.11/x
  3. Step 3: Cross multiply
    315,094.06x = 434,829.76 × 171,854.11
  4. Step 4: Simplify right side
    315,094.06x = 74,727,281,406.31
  5. Step 5: Solve for x
    x = 74,727,281,406.31/315,094.06
  6. Step 6: Final answer
    x = 237,158.65

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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.