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Finding the Fourth Proportional to 102,025.40, 153,038.10 and 70,921.40

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Solution

The fourth proportional to 102,025.40, 153,038.10 and 70,921.40 is: 106,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,025.40 : 153,038.10 = 70,921.40 : x
  2. Step 2: Convert to fraction form
    102,025.40/153,038.10 = 70,921.40/x
  3. Step 3: Cross multiply
    102,025.40x = 153,038.10 × 70,921.40
  4. Step 4: Simplify right side
    102,025.40x = 10,853,676,305.34
  5. Step 5: Solve for x
    x = 10,853,676,305.34/102,025.40
  6. Step 6: Final answer
    x = 106,382.10

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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.