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Finding the Fourth Proportional to 114,466.32, 157,962.96 and 72,080.64

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Solution

The fourth proportional to 114,466.32, 157,962.96 and 72,080.64 is: 99,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,466.32 : 157,962.96 = 72,080.64 : x
  2. Step 2: Convert to fraction form
    114,466.32/157,962.96 = 72,080.64/x
  3. Step 3: Cross multiply
    114,466.32x = 157,962.96 × 72,080.64
  4. Step 4: Simplify right side
    114,466.32x = 11,386,071,253.09
  5. Step 5: Solve for x
    x = 11,386,071,253.09/114,466.32
  6. Step 6: Final answer
    x = 99,470.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.