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Finding the Fourth Proportional to 255,668.69, 383,503.02 and 97,897.13

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Solution

The fourth proportional to 255,668.69, 383,503.02 and 97,897.13 is: 146,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,668.69 : 383,503.02 = 97,897.13 : x
  2. Step 2: Convert to fraction form
    255,668.69/383,503.02 = 97,897.13/x
  3. Step 3: Cross multiply
    255,668.69x = 383,503.02 × 97,897.13
  4. Step 4: Simplify right side
    255,668.69x = 37,543,845,004.33
  5. Step 5: Solve for x
    x = 37,543,845,004.33/255,668.69
  6. Step 6: Final answer
    x = 146,845.69

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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.