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Finding the Fourth Proportional to 178,210.96, 245,931.11 and 97,641.53

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Solution

The fourth proportional to 178,210.96, 245,931.11 and 97,641.53 is: 134,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,210.96 : 245,931.11 = 97,641.53 : x
  2. Step 2: Convert to fraction form
    178,210.96/245,931.11 = 97,641.53/x
  3. Step 3: Cross multiply
    178,210.96x = 245,931.11 × 97,641.53
  4. Step 4: Simplify right side
    178,210.96x = 24,013,089,855.00
  5. Step 5: Solve for x
    x = 24,013,089,855.00/178,210.96
  6. Step 6: Final answer
    x = 134,745.31

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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.