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Finding the Fourth Proportional to 128,315.84, 176,988 and 83,664.32

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Solution

The fourth proportional to 128,315.84, 176,988 and 83,664.32 is: 115,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,315.84 : 176,988 = 83,664.32 : x
  2. Step 2: Convert to fraction form
    128,315.84/176,988 = 83,664.32/x
  3. Step 3: Cross multiply
    128,315.84x = 176,988 × 83,664.32
  4. Step 4: Simplify right side
    128,315.84x = 14,807,580,668.16
  5. Step 5: Solve for x
    x = 14,807,580,668.16/128,315.84
  6. Step 6: Final answer
    x = 115,399.48

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