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Finding the Fourth Proportional to 102,802.19, 153,776.81 and 96,503.63

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Solution

The fourth proportional to 102,802.19, 153,776.81 and 96,503.63 is: 144,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802.19 : 153,776.81 = 96,503.63 : x
  2. Step 2: Convert to fraction form
    102,802.19/153,776.81 = 96,503.63/x
  3. Step 3: Cross multiply
    102,802.19x = 153,776.81 × 96,503.63
  4. Step 4: Simplify right side
    102,802.19x = 14,840,019,847.20
  5. Step 5: Solve for x
    x = 14,840,019,847.20/102,802.19
  6. Step 6: Final answer
    x = 144,355.10

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1.5x scale

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.