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Finding the Fourth Proportional to 201,675.12, 302,547.24 and 61,407.60

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Solution

The fourth proportional to 201,675.12, 302,547.24 and 61,407.60 is: 92,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,675.12 : 302,547.24 = 61,407.60 : x
  2. Step 2: Convert to fraction form
    201,675.12/302,547.24 = 61,407.60/x
  3. Step 3: Cross multiply
    201,675.12x = 302,547.24 × 61,407.60
  4. Step 4: Simplify right side
    201,675.12x = 18,578,699,895.02
  5. Step 5: Solve for x
    x = 18,578,699,895.02/201,675.12
  6. Step 6: Final answer
    x = 92,121.92

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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.