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Finding the Fourth Proportional to 201,772.10, 302,657.34 and 61,530.32

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Solution

The fourth proportional to 201,772.10, 302,657.34 and 61,530.32 is: 92,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,772.10 : 302,657.34 = 61,530.32 : x
  2. Step 2: Convert to fraction form
    201,772.10/302,657.34 = 61,530.32/x
  3. Step 3: Cross multiply
    201,772.10x = 302,657.34 × 61,530.32
  4. Step 4: Simplify right side
    201,772.10x = 18,622,602,980.55
  5. Step 5: Solve for x
    x = 18,622,602,980.55/201,772.10
  6. Step 6: Final answer
    x = 92,295.23

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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.