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Finding the Fourth Proportional to 152,133.93, 228,204.34 and 46,953

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Solution

The fourth proportional to 152,133.93, 228,204.34 and 46,953 is: 70,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,133.93 : 228,204.34 = 46,953 : x
  2. Step 2: Convert to fraction form
    152,133.93/228,204.34 = 46,953/x
  3. Step 3: Cross multiply
    152,133.93x = 228,204.34 × 46,953
  4. Step 4: Simplify right side
    152,133.93x = 10,714,878,258.64
  5. Step 5: Solve for x
    x = 10,714,878,258.64/152,133.93
  6. Step 6: Final answer
    x = 70,430.56

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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.