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Finding the Fourth Proportional to 157,813.10, 236,719.65 and 98,830.70

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Solution

The fourth proportional to 157,813.10, 236,719.65 and 98,830.70 is: 148,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,813.10 : 236,719.65 = 98,830.70 : x
  2. Step 2: Convert to fraction form
    157,813.10/236,719.65 = 98,830.70/x
  3. Step 3: Cross multiply
    157,813.10x = 236,719.65 × 98,830.70
  4. Step 4: Simplify right side
    157,813.10x = 23,395,168,713.26
  5. Step 5: Solve for x
    x = 23,395,168,713.26/157,813.10
  6. Step 6: Final answer
    x = 148,246.05

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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.