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Finding the Fourth Proportional to 102,986.40, 144,492 and 102,986.40

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Solution

The fourth proportional to 102,986.40, 144,492 and 102,986.40 is: 144,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,986.40 : 144,492 = 102,986.40 : x
  2. Step 2: Convert to fraction form
    102,986.40/144,492 = 102,986.40/x
  3. Step 3: Cross multiply
    102,986.40x = 144,492 × 102,986.40
  4. Step 4: Simplify right side
    102,986.40x = 14,880,710,908.80
  5. Step 5: Solve for x
    x = 14,880,710,908.80/102,986.40
  6. Step 6: Final answer
    x = 144,492

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.