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Finding the Fourth Proportional to 116,547.94, 160,824.95 and 71,271.66

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Solution

The fourth proportional to 116,547.94, 160,824.95 and 71,271.66 is: 98,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,547.94 : 160,824.95 = 71,271.66 : x
  2. Step 2: Convert to fraction form
    116,547.94/160,824.95 = 71,271.66/x
  3. Step 3: Cross multiply
    116,547.94x = 160,824.95 × 71,271.66
  4. Step 4: Simplify right side
    116,547.94x = 11,462,261,155.92
  5. Step 5: Solve for x
    x = 11,462,261,155.92/116,547.94
  6. Step 6: Final answer
    x = 98,348.04

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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.