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Finding the Fourth Proportional to 153,312.18, 229,978.01 and 48,135.30

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Solution

The fourth proportional to 153,312.18, 229,978.01 and 48,135.30 is: 72,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,312.18 : 229,978.01 = 48,135.30 : x
  2. Step 2: Convert to fraction form
    153,312.18/229,978.01 = 48,135.30/x
  3. Step 3: Cross multiply
    153,312.18x = 229,978.01 × 48,135.30
  4. Step 4: Simplify right side
    153,312.18x = 11,070,060,264.08
  5. Step 5: Solve for x
    x = 11,070,060,264.08/153,312.18
  6. Step 6: Final answer
    x = 72,206.01

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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.