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Finding the Fourth Proportional to 157,323.60, 236,019.57 and 57,483.64

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Solution

The fourth proportional to 157,323.60, 236,019.57 and 57,483.64 is: 86,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,323.60 : 236,019.57 = 57,483.64 : x
  2. Step 2: Convert to fraction form
    157,323.60/236,019.57 = 57,483.64/x
  3. Step 3: Cross multiply
    157,323.60x = 236,019.57 × 57,483.64
  4. Step 4: Simplify right side
    157,323.60x = 13,567,263,070.03
  5. Step 5: Solve for x
    x = 13,567,263,070.03/157,323.60
  6. Step 6: Final answer
    x = 86,237.94

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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.