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Finding the Fourth Proportional to 153,810.52, 230,692.74 and 127,683.16

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Solution

The fourth proportional to 153,810.52, 230,692.74 and 127,683.16 is: 191,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,810.52 : 230,692.74 = 127,683.16 : x
  2. Step 2: Convert to fraction form
    153,810.52/230,692.74 = 127,683.16/x
  3. Step 3: Cross multiply
    153,810.52x = 230,692.74 × 127,683.16
  4. Step 4: Simplify right side
    153,810.52x = 29,455,578,032.26
  5. Step 5: Solve for x
    x = 29,455,578,032.26/153,810.52
  6. Step 6: Final answer
    x = 191,505.61

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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.