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Finding the Fourth Proportional to 201,602.16, 302,461.56 and 61,357.14

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Solution

The fourth proportional to 201,602.16, 302,461.56 and 61,357.14 is: 92,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,602.16 : 302,461.56 = 61,357.14 : x
  2. Step 2: Convert to fraction form
    201,602.16/302,461.56 = 61,357.14/x
  3. Step 3: Cross multiply
    201,602.16x = 302,461.56 × 61,357.14
  4. Step 4: Simplify right side
    201,602.16x = 18,558,176,281.54
  5. Step 5: Solve for x
    x = 18,558,176,281.54/201,602.16
  6. Step 6: Final answer
    x = 92,053.46

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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.