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Finding the Fourth Proportional to 177,242.69, 265,714.59 and 77,329.60

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Solution

The fourth proportional to 177,242.69, 265,714.59 and 77,329.60 is: 115,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,242.69 : 265,714.59 = 77,329.60 : x
  2. Step 2: Convert to fraction form
    177,242.69/265,714.59 = 77,329.60/x
  3. Step 3: Cross multiply
    177,242.69x = 265,714.59 × 77,329.60
  4. Step 4: Simplify right side
    177,242.69x = 20,547,602,958.86
  5. Step 5: Solve for x
    x = 20,547,602,958.86/177,242.69
  6. Step 6: Final answer
    x = 115,929.20

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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.