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Finding the Fourth Proportional to 153,823.70, 214,828.30 and 153,823.70

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Solution

The fourth proportional to 153,823.70, 214,828.30 and 153,823.70 is: 214,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,823.70 : 214,828.30 = 153,823.70 : x
  2. Step 2: Convert to fraction form
    153,823.70/214,828.30 = 153,823.70/x
  3. Step 3: Cross multiply
    153,823.70x = 214,828.30 × 153,823.70
  4. Step 4: Simplify right side
    153,823.70x = 33,045,683,970.71
  5. Step 5: Solve for x
    x = 33,045,683,970.71/153,823.70
  6. Step 6: Final answer
    x = 214,828.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.