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Finding the Fourth Proportional to 145,875.75, 201,308.54 and 78,807.75

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Solution

The fourth proportional to 145,875.75, 201,308.54 and 78,807.75 is: 108,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,875.75 : 201,308.54 = 78,807.75 : x
  2. Step 2: Convert to fraction form
    145,875.75/201,308.54 = 78,807.75/x
  3. Step 3: Cross multiply
    145,875.75x = 201,308.54 × 78,807.75
  4. Step 4: Simplify right side
    145,875.75x = 15,864,672,699.15
  5. Step 5: Solve for x
    x = 15,864,672,699.15/145,875.75
  6. Step 6: Final answer
    x = 108,754.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.