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Finding the Fourth Proportional to 178,038.81, 245,860.11 and 114,487.02

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Solution

The fourth proportional to 178,038.81, 245,860.11 and 114,487.02 is: 158,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,038.81 : 245,860.11 = 114,487.02 : x
  2. Step 2: Convert to fraction form
    178,038.81/245,860.11 = 114,487.02/x
  3. Step 3: Cross multiply
    178,038.81x = 245,860.11 × 114,487.02
  4. Step 4: Simplify right side
    178,038.81x = 28,147,791,330.77
  5. Step 5: Solve for x
    x = 28,147,791,330.77/178,038.81
  6. Step 6: Final answer
    x = 158,099.19

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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.