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Finding the Fourth Proportional to 152,204.40, 210,038.40 and 84,219.84

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Solution

The fourth proportional to 152,204.40, 210,038.40 and 84,219.84 is: 116,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,204.40 : 210,038.40 = 84,219.84 : x
  2. Step 2: Convert to fraction form
    152,204.40/210,038.40 = 84,219.84/x
  3. Step 3: Cross multiply
    152,204.40x = 210,038.40 × 84,219.84
  4. Step 4: Simplify right side
    152,204.40x = 17,689,400,441.86
  5. Step 5: Solve for x
    x = 17,689,400,441.86/152,204.40
  6. Step 6: Final answer
    x = 116,221.35

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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.