Finding the Fourth Proportional to 146,367,854.14, 201,985,732.91 and 83,643,238.42
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Solution
The fourth proportional to 146,367,854.14, 201,985,732.91 and 83,643,238.42 is: 115,426,579.92
Step by Step Solution
- Step 1: Write the proportion equation
146,367,854.14 : 201,985,732.91 = 83,643,238.42 : x - Step 2: Convert to fraction form
146,367,854.14/201,985,732.91 = 83,643,238.42/x - Step 3: Cross multiply
146,367,854.14x = 201,985,732.91 × 83,643,238.42 - Step 4: Simplify right side
146,367,854.14x = 16,894,740,813,801,426 - Step 5: Solve for x
x = 16,894,740,813,801,426/146,367,854.14 - Step 6: Final answer
x = 115,426,579.92
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.