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Finding the Fourth Proportional to 160,294.96, 221,215.12 and 96,653.28

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Solution

The fourth proportional to 160,294.96, 221,215.12 and 96,653.28 is: 133,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,294.96 : 221,215.12 = 96,653.28 : x
  2. Step 2: Convert to fraction form
    160,294.96/221,215.12 = 96,653.28/x
  3. Step 3: Cross multiply
    160,294.96x = 221,215.12 × 96,653.28
  4. Step 4: Simplify right side
    160,294.96x = 21,381,166,933.59
  5. Step 5: Solve for x
    x = 21,381,166,933.59/160,294.96
  6. Step 6: Final answer
    x = 133,386.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.