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Finding the Fourth Proportional to 96,011.40, 144,017.10 and 85,643.40

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Solution

The fourth proportional to 96,011.40, 144,017.10 and 85,643.40 is: 128,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,011.40 : 144,017.10 = 85,643.40 : x
  2. Step 2: Convert to fraction form
    96,011.40/144,017.10 = 85,643.40/x
  3. Step 3: Cross multiply
    96,011.40x = 144,017.10 × 85,643.40
  4. Step 4: Simplify right side
    96,011.40x = 12,334,114,102.14
  5. Step 5: Solve for x
    x = 12,334,114,102.14/96,011.40
  6. Step 6: Final answer
    x = 128,465.10

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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.