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Finding the Fourth Proportional to 119,047.82, 164,275.11 and 70,641.38

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Solution

The fourth proportional to 119,047.82, 164,275.11 and 70,641.38 is: 97,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047.82 : 164,275.11 = 70,641.38 : x
  2. Step 2: Convert to fraction form
    119,047.82/164,275.11 = 70,641.38/x
  3. Step 3: Cross multiply
    119,047.82x = 164,275.11 × 70,641.38
  4. Step 4: Simplify right side
    119,047.82x = 11,604,620,880.74
  5. Step 5: Solve for x
    x = 11,604,620,880.74/119,047.82
  6. Step 6: Final answer
    x = 97,478.65

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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.