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Finding the Fourth Proportional to 153,112.58, 229,654 and 46,497.46

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Solution

The fourth proportional to 153,112.58, 229,654 and 46,497.46 is: 69,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,112.58 : 229,654 = 46,497.46 : x
  2. Step 2: Convert to fraction form
    153,112.58/229,654 = 46,497.46/x
  3. Step 3: Cross multiply
    153,112.58x = 229,654 × 46,497.46
  4. Step 4: Simplify right side
    153,112.58x = 10,678,327,678.84
  5. Step 5: Solve for x
    x = 10,678,327,678.84/153,112.58
  6. Step 6: Final answer
    x = 69,741.67

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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.