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Finding the Fourth Proportional to 157,298.80, 235,429.80 and 122,047.60

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Solution

The fourth proportional to 157,298.80, 235,429.80 and 122,047.60 is: 182,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298.80 : 235,429.80 = 122,047.60 : x
  2. Step 2: Convert to fraction form
    157,298.80/235,429.80 = 122,047.60/x
  3. Step 3: Cross multiply
    157,298.80x = 235,429.80 × 122,047.60
  4. Step 4: Simplify right side
    157,298.80x = 28,733,642,058.48
  5. Step 5: Solve for x
    x = 28,733,642,058.48/157,298.80
  6. Step 6: Final answer
    x = 182,669.18

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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.