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Finding the Fourth Proportional to 201,569.02, 302,397.27 and 61,324

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Solution

The fourth proportional to 201,569.02, 302,397.27 and 61,324 is: 91,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,569.02 : 302,397.27 = 61,324 : x
  2. Step 2: Convert to fraction form
    201,569.02/302,397.27 = 61,324/x
  3. Step 3: Cross multiply
    201,569.02x = 302,397.27 × 61,324
  4. Step 4: Simplify right side
    201,569.02x = 18,544,210,185.48
  5. Step 5: Solve for x
    x = 18,544,210,185.48/201,569.02
  6. Step 6: Final answer
    x = 91,999.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.