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Finding the Fourth Proportional to 152,707.82, 210,729.65 and 84,724.07

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Solution

The fourth proportional to 152,707.82, 210,729.65 and 84,724.07 is: 116,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,707.82 : 210,729.65 = 84,724.07 : x
  2. Step 2: Convert to fraction form
    152,707.82/210,729.65 = 84,724.07/x
  3. Step 3: Cross multiply
    152,707.82x = 210,729.65 × 84,724.07
  4. Step 4: Simplify right side
    152,707.82x = 17,853,872,140.41
  5. Step 5: Solve for x
    x = 17,853,872,140.41/152,707.82
  6. Step 6: Final answer
    x = 116,915.25

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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.