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Finding the Fourth Proportional to 157,029.16, 233,880.77 and 156,264.52

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Solution

The fourth proportional to 157,029.16, 233,880.77 and 156,264.52 is: 232,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,029.16 : 233,880.77 = 156,264.52 : x
  2. Step 2: Convert to fraction form
    157,029.16/233,880.77 = 156,264.52/x
  3. Step 3: Cross multiply
    157,029.16x = 233,880.77 × 156,264.52
  4. Step 4: Simplify right side
    157,029.16x = 36,547,266,261.28
  5. Step 5: Solve for x
    x = 36,547,266,261.28/157,029.16
  6. Step 6: Final answer
    x = 232,741.91

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