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Finding the Fourth Proportional to 157,083.21, 233,848.04 and 156,149.01

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Solution

The fourth proportional to 157,083.21, 233,848.04 and 156,149.01 is: 232,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,083.21 : 233,848.04 = 156,149.01 : x
  2. Step 2: Convert to fraction form
    157,083.21/233,848.04 = 156,149.01/x
  3. Step 3: Cross multiply
    157,083.21x = 233,848.04 × 156,149.01
  4. Step 4: Simplify right side
    157,083.21x = 36,515,139,155.70
  5. Step 5: Solve for x
    x = 36,515,139,155.70/157,083.21
  6. Step 6: Final answer
    x = 232,457.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.