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Finding the Fourth Proportional to 176,683.76, 243,743.14 and 105,023.06

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Solution

The fourth proportional to 176,683.76, 243,743.14 and 105,023.06 is: 144,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,683.76 : 243,743.14 = 105,023.06 : x
  2. Step 2: Convert to fraction form
    176,683.76/243,743.14 = 105,023.06/x
  3. Step 3: Cross multiply
    176,683.76x = 243,743.14 × 105,023.06
  4. Step 4: Simplify right side
    176,683.76x = 25,598,648,935.54
  5. Step 5: Solve for x
    x = 25,598,648,935.54/176,683.76
  6. Step 6: Final answer
    x = 144,884.00

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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.