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Finding the Fourth Proportional to 147,970.96, 221,934.48 and 54,454.84

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Solution

The fourth proportional to 147,970.96, 221,934.48 and 54,454.84 is: 81,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,970.96 : 221,934.48 = 54,454.84 : x
  2. Step 2: Convert to fraction form
    147,970.96/221,934.48 = 54,454.84/x
  3. Step 3: Cross multiply
    147,970.96x = 221,934.48 × 54,454.84
  4. Step 4: Simplify right side
    147,970.96x = 12,085,406,598.88
  5. Step 5: Solve for x
    x = 12,085,406,598.88/147,970.96
  6. Step 6: Final answer
    x = 81,674.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.