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Finding the Fourth Proportional to 157,070.94, 233,829.90 and 156,136.79

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Solution

The fourth proportional to 157,070.94, 233,829.90 and 156,136.79 is: 232,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,070.94 : 233,829.90 = 156,136.79 : x
  2. Step 2: Convert to fraction form
    157,070.94/233,829.90 = 156,136.79/x
  3. Step 3: Cross multiply
    157,070.94x = 233,829.90 × 156,136.79
  4. Step 4: Simplify right side
    157,070.94x = 36,509,448,822.87
  5. Step 5: Solve for x
    x = 36,509,448,822.87/157,070.94
  6. Step 6: Final answer
    x = 232,439.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.