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Finding the Fourth Proportional to 316,124.80, 474,088.48 and 105,713.60

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Solution

The fourth proportional to 316,124.80, 474,088.48 and 105,713.60 is: 158,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,124.80 : 474,088.48 = 105,713.60 : x
  2. Step 2: Convert to fraction form
    316,124.80/474,088.48 = 105,713.60/x
  3. Step 3: Cross multiply
    316,124.80x = 474,088.48 × 105,713.60
  4. Step 4: Simplify right side
    316,124.80x = 50,117,599,939.33
  5. Step 5: Solve for x
    x = 50,117,599,939.33/316,124.80
  6. Step 6: Final answer
    x = 158,537.39

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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.