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Finding the Fourth Proportional to 157,166, 235,755.48 and 46,358

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Solution

The fourth proportional to 157,166, 235,755.48 and 46,358 is: 69,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,166 : 235,755.48 = 46,358 : x
  2. Step 2: Convert to fraction form
    157,166/235,755.48 = 46,358/x
  3. Step 3: Cross multiply
    157,166x = 235,755.48 × 46,358
  4. Step 4: Simplify right side
    157,166x = 10,929,152,541.84
  5. Step 5: Solve for x
    x = 10,929,152,541.84/157,166
  6. Step 6: Final answer
    x = 69,538.91

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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.