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Finding the Fourth Proportional to 176,150.70, 263,885.96 and 105,130.06

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Solution

The fourth proportional to 176,150.70, 263,885.96 and 105,130.06 is: 157,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,150.70 : 263,885.96 = 105,130.06 : x
  2. Step 2: Convert to fraction form
    176,150.70/263,885.96 = 105,130.06/x
  3. Step 3: Cross multiply
    176,150.70x = 263,885.96 × 105,130.06
  4. Step 4: Simplify right side
    176,150.70x = 27,742,346,411.07
  5. Step 5: Solve for x
    x = 27,742,346,411.07/176,150.70
  6. Step 6: Final answer
    x = 157,492.12

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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.