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Finding the Fourth Proportional to 157,008.60, 217,242.38 and 136,907.40

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Solution

The fourth proportional to 157,008.60, 217,242.38 and 136,907.40 is: 189,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,008.60 : 217,242.38 = 136,907.40 : x
  2. Step 2: Convert to fraction form
    157,008.60/217,242.38 = 136,907.40/x
  3. Step 3: Cross multiply
    157,008.60x = 217,242.38 × 136,907.40
  4. Step 4: Simplify right side
    157,008.60x = 29,742,089,415.61
  5. Step 5: Solve for x
    x = 29,742,089,415.61/157,008.60
  6. Step 6: Final answer
    x = 189,429.68

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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.