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Finding the Fourth Proportional to 201,863.96, 302,795.93 and 59,698.16

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Solution

The fourth proportional to 201,863.96, 302,795.93 and 59,698.16 is: 89,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,863.96 : 302,795.93 = 59,698.16 : x
  2. Step 2: Convert to fraction form
    201,863.96/302,795.93 = 59,698.16/x
  3. Step 3: Cross multiply
    201,863.96x = 302,795.93 × 59,698.16
  4. Step 4: Simplify right side
    201,863.96x = 18,076,359,876.49
  5. Step 5: Solve for x
    x = 18,076,359,876.49/201,863.96
  6. Step 6: Final answer
    x = 89,547.24

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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.