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Finding the Fourth Proportional to 177,130.71, 265,668.68 and 64,784.66

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Solution

The fourth proportional to 177,130.71, 265,668.68 and 64,784.66 is: 97,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,130.71 : 265,668.68 = 64,784.66 : x
  2. Step 2: Convert to fraction form
    177,130.71/265,668.68 = 64,784.66/x
  3. Step 3: Cross multiply
    177,130.71x = 265,668.68 × 64,784.66
  4. Step 4: Simplify right side
    177,130.71x = 17,211,255,106.45
  5. Step 5: Solve for x
    x = 17,211,255,106.45/177,130.71
  6. Step 6: Final answer
    x = 97,166.97

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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.