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Finding the Fourth Proportional to 315,772.80, 473,637.60 and 102,537.60

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Solution

The fourth proportional to 315,772.80, 473,637.60 and 102,537.60 is: 153,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,772.80 : 473,637.60 = 102,537.60 : x
  2. Step 2: Convert to fraction form
    315,772.80/473,637.60 = 102,537.60/x
  3. Step 3: Cross multiply
    315,772.80x = 473,637.60 × 102,537.60
  4. Step 4: Simplify right side
    315,772.80x = 48,565,662,773.76
  5. Step 5: Solve for x
    x = 48,565,662,773.76/315,772.80
  6. Step 6: Final answer
    x = 153,799.39

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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.