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Finding the Fourth Proportional to 289,587.60, 434,064.60 and 102,502.80

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Solution

The fourth proportional to 289,587.60, 434,064.60 and 102,502.80 is: 153,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,587.60 : 434,064.60 = 102,502.80 : x
  2. Step 2: Convert to fraction form
    289,587.60/434,064.60 = 102,502.80/x
  3. Step 3: Cross multiply
    289,587.60x = 434,064.60 × 102,502.80
  4. Step 4: Simplify right side
    289,587.60x = 44,492,836,880.88
  5. Step 5: Solve for x
    x = 44,492,836,880.88/289,587.60
  6. Step 6: Final answer
    x = 153,642.07

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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.