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Finding the Fourth Proportional to 286,175.70, 429,263.55 and 99,206.10

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Solution

The fourth proportional to 286,175.70, 429,263.55 and 99,206.10 is: 148,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,175.70 : 429,263.55 = 99,206.10 : x
  2. Step 2: Convert to fraction form
    286,175.70/429,263.55 = 99,206.10/x
  3. Step 3: Cross multiply
    286,175.70x = 429,263.55 × 99,206.10
  4. Step 4: Simplify right side
    286,175.70x = 42,585,562,667.66
  5. Step 5: Solve for x
    x = 42,585,562,667.66/286,175.70
  6. Step 6: Final answer
    x = 148,809.15

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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.