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Finding the Fourth Proportional to 157,156, 235,777.28 and 46,348

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Solution

The fourth proportional to 157,156, 235,777.28 and 46,348 is: 69,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,156 : 235,777.28 = 46,348 : x
  2. Step 2: Convert to fraction form
    157,156/235,777.28 = 46,348/x
  3. Step 3: Cross multiply
    157,156x = 235,777.28 × 46,348
  4. Step 4: Simplify right side
    157,156x = 10,927,805,373.44
  5. Step 5: Solve for x
    x = 10,927,805,373.44/157,156
  6. Step 6: Final answer
    x = 69,534.76

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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.