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Finding the Fourth Proportional to 153,533.56, 230,325 and 64,800.24

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Solution

The fourth proportional to 153,533.56, 230,325 and 64,800.24 is: 97,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,533.56 : 230,325 = 64,800.24 : x
  2. Step 2: Convert to fraction form
    153,533.56/230,325 = 64,800.24/x
  3. Step 3: Cross multiply
    153,533.56x = 230,325 × 64,800.24
  4. Step 4: Simplify right side
    153,533.56x = 14,925,115,278
  5. Step 5: Solve for x
    x = 14,925,115,278/153,533.56
  6. Step 6: Final answer
    x = 97,210.77

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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.