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Finding the Fourth Proportional to 357,001.98, 535,643.18 and 157,182.18

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Solution

The fourth proportional to 357,001.98, 535,643.18 and 157,182.18 is: 235,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,001.98 : 535,643.18 = 157,182.18 : x
  2. Step 2: Convert to fraction form
    357,001.98/535,643.18 = 157,182.18/x
  3. Step 3: Cross multiply
    357,001.98x = 535,643.18 × 157,182.18
  4. Step 4: Simplify right side
    357,001.98x = 84,193,562,734.53
  5. Step 5: Solve for x
    x = 84,193,562,734.53/357,001.98
  6. Step 6: Final answer
    x = 235,835.00

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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.