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Finding the Fourth Proportional to 200,038.06, 300,291.50 and 157,946.51

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Solution

The fourth proportional to 200,038.06, 300,291.50 and 157,946.51 is: 237,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,038.06 : 300,291.50 = 157,946.51 : x
  2. Step 2: Convert to fraction form
    200,038.06/300,291.50 = 157,946.51/x
  3. Step 3: Cross multiply
    200,038.06x = 300,291.50 × 157,946.51
  4. Step 4: Simplify right side
    200,038.06x = 47,429,993,864.12
  5. Step 5: Solve for x
    x = 47,429,993,864.12/200,038.06
  6. Step 6: Final answer
    x = 237,104.85

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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.