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Finding the Fourth Proportional to 152,041.62, 209,817.90 and 84,973.62

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Solution

The fourth proportional to 152,041.62, 209,817.90 and 84,973.62 is: 117,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,041.62 : 209,817.90 = 84,973.62 : x
  2. Step 2: Convert to fraction form
    152,041.62/209,817.90 = 84,973.62/x
  3. Step 3: Cross multiply
    152,041.62x = 209,817.90 × 84,973.62
  4. Step 4: Simplify right side
    152,041.62x = 17,828,986,503.80
  5. Step 5: Solve for x
    x = 17,828,986,503.80/152,041.62
  6. Step 6: Final answer
    x = 117,263.86

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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.