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Finding the Fourth Proportional to 157,160, 235,783.28 and 46,352

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Solution

The fourth proportional to 157,160, 235,783.28 and 46,352 is: 69,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,160 : 235,783.28 = 46,352 : x
  2. Step 2: Convert to fraction form
    157,160/235,783.28 = 46,352/x
  3. Step 3: Cross multiply
    157,160x = 235,783.28 × 46,352
  4. Step 4: Simplify right side
    157,160x = 10,929,026,594.56
  5. Step 5: Solve for x
    x = 10,929,026,594.56/157,160
  6. Step 6: Final answer
    x = 69,540.76

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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.