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Finding the Fourth Proportional to 157,033, 235,612.44 and 57,200.08

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Solution

The fourth proportional to 157,033, 235,612.44 and 57,200.08 is: 85,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,033 : 235,612.44 = 57,200.08 : x
  2. Step 2: Convert to fraction form
    157,033/235,612.44 = 57,200.08/x
  3. Step 3: Cross multiply
    157,033x = 235,612.44 × 57,200.08
  4. Step 4: Simplify right side
    157,033x = 13,477,050,417.00
  5. Step 5: Solve for x
    x = 13,477,050,417.00/157,033
  6. Step 6: Final answer
    x = 85,823.05

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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.