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Finding the Fourth Proportional to 101,460.40, 152,223.06 and 42,302.32

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Solution

The fourth proportional to 101,460.40, 152,223.06 and 42,302.32 is: 63,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,460.40 : 152,223.06 = 42,302.32 : x
  2. Step 2: Convert to fraction form
    101,460.40/152,223.06 = 42,302.32/x
  3. Step 3: Cross multiply
    101,460.40x = 152,223.06 × 42,302.32
  4. Step 4: Simplify right side
    101,460.40x = 6,439,388,595.50
  5. Step 5: Solve for x
    x = 6,439,388,595.50/101,460.40
  6. Step 6: Final answer
    x = 63,467.01

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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.