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Finding the Fourth Proportional to 176,642.96, 265,076.16 and 160,036.48

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Solution

The fourth proportional to 176,642.96, 265,076.16 and 160,036.48 is: 240,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,642.96 : 265,076.16 = 160,036.48 : x
  2. Step 2: Convert to fraction form
    176,642.96/265,076.16 = 160,036.48/x
  3. Step 3: Cross multiply
    176,642.96x = 265,076.16 × 160,036.48
  4. Step 4: Simplify right side
    176,642.96x = 42,421,855,578.32
  5. Step 5: Solve for x
    x = 42,421,855,578.32/176,642.96
  6. Step 6: Final answer
    x = 240,155.94

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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.