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Finding the Fourth Proportional to 164,057.60, 245,430.30 and 142,114.70

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Solution

The fourth proportional to 164,057.60, 245,430.30 and 142,114.70 is: 212,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,057.60 : 245,430.30 = 142,114.70 : x
  2. Step 2: Convert to fraction form
    164,057.60/245,430.30 = 142,114.70/x
  3. Step 3: Cross multiply
    164,057.60x = 245,430.30 × 142,114.70
  4. Step 4: Simplify right side
    164,057.60x = 34,879,253,455.41
  5. Step 5: Solve for x
    x = 34,879,253,455.41/164,057.60
  6. Step 6: Final answer
    x = 212,603.70

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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.