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Finding the Fourth Proportional to 153,309, 229,963.50 and 42,501

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Solution

The fourth proportional to 153,309, 229,963.50 and 42,501 is: 63,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309 : 229,963.50 = 42,501 : x
  2. Step 2: Convert to fraction form
    153,309/229,963.50 = 42,501/x
  3. Step 3: Cross multiply
    153,309x = 229,963.50 × 42,501
  4. Step 4: Simplify right side
    153,309x = 9,773,678,713.50
  5. Step 5: Solve for x
    x = 9,773,678,713.50/153,309
  6. Step 6: Final answer
    x = 63,751.50

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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.