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Finding the Fourth Proportional to 153,108.84, 229,612.16 and 64,345.80

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Solution

The fourth proportional to 153,108.84, 229,612.16 and 64,345.80 is: 96,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,108.84 : 229,612.16 = 64,345.80 : x
  2. Step 2: Convert to fraction form
    153,108.84/229,612.16 = 64,345.80/x
  3. Step 3: Cross multiply
    153,108.84x = 229,612.16 × 64,345.80
  4. Step 4: Simplify right side
    153,108.84x = 14,774,578,124.93
  5. Step 5: Solve for x
    x = 14,774,578,124.93/153,108.84
  6. Step 6: Final answer
    x = 96,497.22

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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.