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Finding the Fourth Proportional to 176,830.30, 265,096.64 and 76,915.24

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Solution

The fourth proportional to 176,830.30, 265,096.64 and 76,915.24 is: 115,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,830.30 : 265,096.64 = 76,915.24 : x
  2. Step 2: Convert to fraction form
    176,830.30/265,096.64 = 76,915.24/x
  3. Step 3: Cross multiply
    176,830.30x = 265,096.64 × 76,915.24
  4. Step 4: Simplify right side
    176,830.30x = 20,389,971,218.34
  5. Step 5: Solve for x
    x = 20,389,971,218.34/176,830.30
  6. Step 6: Final answer
    x = 115,308.13

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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.