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Finding the Fourth Proportional to 193,038.84, 289,164.06 and 99,347.76

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Solution

The fourth proportional to 193,038.84, 289,164.06 and 99,347.76 is: 148,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,038.84 : 289,164.06 = 99,347.76 : x
  2. Step 2: Convert to fraction form
    193,038.84/289,164.06 = 99,347.76/x
  3. Step 3: Cross multiply
    193,038.84x = 289,164.06 × 99,347.76
  4. Step 4: Simplify right side
    193,038.84x = 28,727,801,633.51
  5. Step 5: Solve for x
    x = 28,727,801,633.51/193,038.84
  6. Step 6: Final answer
    x = 148,818.76

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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.