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Finding the Fourth Proportional to 152,025.40, 228,038.10 and 96,038.20

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Solution

The fourth proportional to 152,025.40, 228,038.10 and 96,038.20 is: 144,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,025.40 : 228,038.10 = 96,038.20 : x
  2. Step 2: Convert to fraction form
    152,025.40/228,038.10 = 96,038.20/x
  3. Step 3: Cross multiply
    152,025.40x = 228,038.10 × 96,038.20
  4. Step 4: Simplify right side
    152,025.40x = 21,900,368,655.42
  5. Step 5: Solve for x
    x = 21,900,368,655.42/152,025.40
  6. Step 6: Final answer
    x = 144,057.30

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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.