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Finding the Fourth Proportional to 310,125.01, 427,982.85 and 174,182.91

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Solution

The fourth proportional to 310,125.01, 427,982.85 and 174,182.91 is: 240,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,125.01 : 427,982.85 = 174,182.91 : x
  2. Step 2: Convert to fraction form
    310,125.01/427,982.85 = 174,182.91/x
  3. Step 3: Cross multiply
    310,125.01x = 427,982.85 × 174,182.91
  4. Step 4: Simplify right side
    310,125.01x = 74,547,298,243.09
  5. Step 5: Solve for x
    x = 74,547,298,243.09/310,125.01
  6. Step 6: Final answer
    x = 240,378.22

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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.