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Finding the Fourth Proportional to 209,525.67, 289,151.55 and 114,038.55

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Solution

The fourth proportional to 209,525.67, 289,151.55 and 114,038.55 is: 157,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,525.67 : 289,151.55 = 114,038.55 : x
  2. Step 2: Convert to fraction form
    209,525.67/289,151.55 = 114,038.55/x
  3. Step 3: Cross multiply
    209,525.67x = 289,151.55 × 114,038.55
  4. Step 4: Simplify right side
    209,525.67x = 32,974,423,492.25
  5. Step 5: Solve for x
    x = 32,974,423,492.25/209,525.67
  6. Step 6: Final answer
    x = 157,376.53

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1.5x scale

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.