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Finding the Fourth Proportional to 156,303, 233,920.98 and 99,348.03

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Solution

The fourth proportional to 156,303, 233,920.98 and 99,348.03 is: 148,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,303 : 233,920.98 = 99,348.03 : x
  2. Step 2: Convert to fraction form
    156,303/233,920.98 = 99,348.03/x
  3. Step 3: Cross multiply
    156,303x = 233,920.98 × 99,348.03
  4. Step 4: Simplify right side
    156,303x = 23,239,588,538.67
  5. Step 5: Solve for x
    x = 23,239,588,538.67/156,303
  6. Step 6: Final answer
    x = 148,682.93

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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.