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Finding the Fourth Proportional to 201,564.93, 302,336.54 and 61,312.65

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Solution

The fourth proportional to 201,564.93, 302,336.54 and 61,312.65 is: 91,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,564.93 : 302,336.54 = 61,312.65 : x
  2. Step 2: Convert to fraction form
    201,564.93/302,336.54 = 61,312.65/x
  3. Step 3: Cross multiply
    201,564.93x = 302,336.54 × 61,312.65
  4. Step 4: Simplify right side
    201,564.93x = 18,537,054,152.67
  5. Step 5: Solve for x
    x = 18,537,054,152.67/201,564.93
  6. Step 6: Final answer
    x = 91,965.67

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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.